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Finding the Fourth Proportional to 9,737.90, 13,444.38 and 7,729.52

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Solution

The fourth proportional to 9,737.90, 13,444.38 and 7,729.52 is: 10,671.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,737.90 : 13,444.38 = 7,729.52 : x
  2. Step 2: Convert to fraction form
    9,737.90/13,444.38 = 7,729.52/x
  3. Step 3: Cross multiply
    9,737.90x = 13,444.38 × 7,729.52
  4. Step 4: Simplify right side
    9,737.90x = 103,918,604.10
  5. Step 5: Solve for x
    x = 103,918,604.10/9,737.90
  6. Step 6: Final answer
    x = 10,671.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.