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Finding the Fourth Proportional to 10,478, 14,453.16 and 8,387.12

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Solution

The fourth proportional to 10,478, 14,453.16 and 8,387.12 is: 11,569.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,478 : 14,453.16 = 8,387.12 : x
  2. Step 2: Convert to fraction form
    10,478/14,453.16 = 8,387.12/x
  3. Step 3: Cross multiply
    10,478x = 14,453.16 × 8,387.12
  4. Step 4: Simplify right side
    10,478x = 121,220,387.30
  5. Step 5: Solve for x
    x = 121,220,387.30/10,478
  6. Step 6: Final answer
    x = 11,569.04

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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.