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Finding the Fourth Proportional to 10,865.87, 15,001.87 and 7,468.53

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Solution

The fourth proportional to 10,865.87, 15,001.87 and 7,468.53 is: 10,311.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,865.87 : 15,001.87 = 7,468.53 : x
  2. Step 2: Convert to fraction form
    10,865.87/15,001.87 = 7,468.53/x
  3. Step 3: Cross multiply
    10,865.87x = 15,001.87 × 7,468.53
  4. Step 4: Simplify right side
    10,865.87x = 112,041,916.15
  5. Step 5: Solve for x
    x = 112,041,916.15/10,865.87
  6. Step 6: Final answer
    x = 10,311.36

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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.