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Finding the Fourth Proportional to 9,378.76, 12,970.62 and 8,382.46

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Solution

The fourth proportional to 9,378.76, 12,970.62 and 8,382.46 is: 11,592.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,378.76 : 12,970.62 = 8,382.46 : x
  2. Step 2: Convert to fraction form
    9,378.76/12,970.62 = 8,382.46/x
  3. Step 3: Cross multiply
    9,378.76x = 12,970.62 × 8,382.46
  4. Step 4: Simplify right side
    9,378.76x = 108,725,703.33
  5. Step 5: Solve for x
    x = 108,725,703.33/9,378.76
  6. Step 6: Final answer
    x = 11,592.76

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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.