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Finding the Fourth Proportional to 15,121.40, 22,691 and 6,355.64

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Solution

The fourth proportional to 15,121.40, 22,691 and 6,355.64 is: 9,537.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,121.40 : 22,691 = 6,355.64 : x
  2. Step 2: Convert to fraction form
    15,121.40/22,691 = 6,355.64/x
  3. Step 3: Cross multiply
    15,121.40x = 22,691 × 6,355.64
  4. Step 4: Simplify right side
    15,121.40x = 144,215,827.24
  5. Step 5: Solve for x
    x = 144,215,827.24/15,121.40
  6. Step 6: Final answer
    x = 9,537.20

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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.