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Finding the Fourth Proportional to 12,576.88, 17,352.92 and 8,382.32

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Solution

The fourth proportional to 12,576.88, 17,352.92 and 8,382.32 is: 11,565.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,576.88 : 17,352.92 = 8,382.32 : x
  2. Step 2: Convert to fraction form
    12,576.88/17,352.92 = 8,382.32/x
  3. Step 3: Cross multiply
    12,576.88x = 17,352.92 × 8,382.32
  4. Step 4: Simplify right side
    12,576.88x = 145,457,728.37
  5. Step 5: Solve for x
    x = 145,457,728.37/12,576.88
  6. Step 6: Final answer
    x = 11,565.49

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.