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Finding the Fourth Proportional to 9,139.76, 13,691.36 and 4,202.64

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Solution

The fourth proportional to 9,139.76, 13,691.36 and 4,202.64 is: 6,295.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,139.76 : 13,691.36 = 4,202.64 : x
  2. Step 2: Convert to fraction form
    9,139.76/13,691.36 = 4,202.64/x
  3. Step 3: Cross multiply
    9,139.76x = 13,691.36 × 4,202.64
  4. Step 4: Simplify right side
    9,139.76x = 57,539,857.19
  5. Step 5: Solve for x
    x = 57,539,857.19/9,139.76
  6. Step 6: Final answer
    x = 6,295.55

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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.