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Finding the Fourth Proportional to 10,929.87, 16,382.05 and 4,357.94

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Solution

The fourth proportional to 10,929.87, 16,382.05 and 4,357.94 is: 6,531.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,929.87 : 16,382.05 = 4,357.94 : x
  2. Step 2: Convert to fraction form
    10,929.87/16,382.05 = 4,357.94/x
  3. Step 3: Cross multiply
    10,929.87x = 16,382.05 × 4,357.94
  4. Step 4: Simplify right side
    10,929.87x = 71,391,898.17
  5. Step 5: Solve for x
    x = 71,391,898.17/10,929.87
  6. Step 6: Final answer
    x = 6,531.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.