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Finding the Fourth Proportional to 10,153.38, 15,229.92 and 2,758

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Solution

The fourth proportional to 10,153.38, 15,229.92 and 2,758 is: 4,136.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,153.38 : 15,229.92 = 2,758 : x
  2. Step 2: Convert to fraction form
    10,153.38/15,229.92 = 2,758/x
  3. Step 3: Cross multiply
    10,153.38x = 15,229.92 × 2,758
  4. Step 4: Simplify right side
    10,153.38x = 42,004,119.36
  5. Step 5: Solve for x
    x = 42,004,119.36/10,153.38
  6. Step 6: Final answer
    x = 4,136.96

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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.