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Finding the Fourth Proportional to 15,122, 22,626 and 13,587.28

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Solution

The fourth proportional to 15,122, 22,626 and 13,587.28 is: 20,329.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,122 : 22,626 = 13,587.28 : x
  2. Step 2: Convert to fraction form
    15,122/22,626 = 13,587.28/x
  3. Step 3: Cross multiply
    15,122x = 22,626 × 13,587.28
  4. Step 4: Simplify right side
    15,122x = 307,425,797.28
  5. Step 5: Solve for x
    x = 307,425,797.28/15,122
  6. Step 6: Final answer
    x = 20,329.70

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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.