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Finding the Fourth Proportional to 13,601, 20,393.32 and 6,103.20

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Solution

The fourth proportional to 13,601, 20,393.32 and 6,103.20 is: 9,151.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,601 : 20,393.32 = 6,103.20 : x
  2. Step 2: Convert to fraction form
    13,601/20,393.32 = 6,103.20/x
  3. Step 3: Cross multiply
    13,601x = 20,393.32 × 6,103.20
  4. Step 4: Simplify right side
    13,601x = 124,464,510.62
  5. Step 5: Solve for x
    x = 124,464,510.62/13,601
  6. Step 6: Final answer
    x = 9,151.13

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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.