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Finding the Fourth Proportional to 11,450.88, 15,803.19 and 6,415.04

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Solution

The fourth proportional to 11,450.88, 15,803.19 and 6,415.04 is: 8,853.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,450.88 : 15,803.19 = 6,415.04 : x
  2. Step 2: Convert to fraction form
    11,450.88/15,803.19 = 6,415.04/x
  3. Step 3: Cross multiply
    11,450.88x = 15,803.19 × 6,415.04
  4. Step 4: Simplify right side
    11,450.88x = 101,378,095.98
  5. Step 5: Solve for x
    x = 101,378,095.98/11,450.88
  6. Step 6: Final answer
    x = 8,853.30

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Half scale
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Double scale
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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.