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Finding the Fourth Proportional to 10,540, 15,812.68 and 3,614.48

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Solution

The fourth proportional to 10,540, 15,812.68 and 3,614.48 is: 5,422.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,540 : 15,812.68 = 3,614.48 : x
  2. Step 2: Convert to fraction form
    10,540/15,812.68 = 3,614.48/x
  3. Step 3: Cross multiply
    10,540x = 15,812.68 × 3,614.48
  4. Step 4: Simplify right side
    10,540x = 57,154,615.61
  5. Step 5: Solve for x
    x = 57,154,615.61/10,540
  6. Step 6: Final answer
    x = 5,422.64

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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.