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Finding the Fourth Proportional to 13,702.56, 20,553.12 and 3,842.52

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Solution

The fourth proportional to 13,702.56, 20,553.12 and 3,842.52 is: 5,763.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,702.56 : 20,553.12 = 3,842.52 : x
  2. Step 2: Convert to fraction form
    13,702.56/20,553.12 = 3,842.52/x
  3. Step 3: Cross multiply
    13,702.56x = 20,553.12 × 3,842.52
  4. Step 4: Simplify right side
    13,702.56x = 78,975,774.66
  5. Step 5: Solve for x
    x = 78,975,774.66/13,702.56
  6. Step 6: Final answer
    x = 5,763.58

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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.