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Finding the Fourth Proportional to 10,537.66, 15,808 and 3,144.38

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Solution

The fourth proportional to 10,537.66, 15,808 and 3,144.38 is: 4,717.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,537.66 : 15,808 = 3,144.38 : x
  2. Step 2: Convert to fraction form
    10,537.66/15,808 = 3,144.38/x
  3. Step 3: Cross multiply
    10,537.66x = 15,808 × 3,144.38
  4. Step 4: Simplify right side
    10,537.66x = 49,706,359.04
  5. Step 5: Solve for x
    x = 49,706,359.04/10,537.66
  6. Step 6: Final answer
    x = 4,717.02

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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.