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Finding the Fourth Proportional to 10,321.78, 15,489.36 and 3,747.40

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Solution

The fourth proportional to 10,321.78, 15,489.36 and 3,747.40 is: 5,623.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,321.78 : 15,489.36 = 3,747.40 : x
  2. Step 2: Convert to fraction form
    10,321.78/15,489.36 = 3,747.40/x
  3. Step 3: Cross multiply
    10,321.78x = 15,489.36 × 3,747.40
  4. Step 4: Simplify right side
    10,321.78x = 58,044,827.66
  5. Step 5: Solve for x
    x = 58,044,827.66/10,321.78
  6. Step 6: Final answer
    x = 5,623.53

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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.