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Finding the Fourth Proportional to 10,915, 15,062.70 and 5,947

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Solution

The fourth proportional to 10,915, 15,062.70 and 5,947 is: 8,206.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,915 : 15,062.70 = 5,947 : x
  2. Step 2: Convert to fraction form
    10,915/15,062.70 = 5,947/x
  3. Step 3: Cross multiply
    10,915x = 15,062.70 × 5,947
  4. Step 4: Simplify right side
    10,915x = 89,577,876.90
  5. Step 5: Solve for x
    x = 89,577,876.90/10,915
  6. Step 6: Final answer
    x = 8,206.86

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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.