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Finding the Fourth Proportional to 15,644, 21,585.36 and 9,272.59

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Solution

The fourth proportional to 15,644, 21,585.36 and 9,272.59 is: 12,794.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,644 : 21,585.36 = 9,272.59 : x
  2. Step 2: Convert to fraction form
    15,644/21,585.36 = 9,272.59/x
  3. Step 3: Cross multiply
    15,644x = 21,585.36 × 9,272.59
  4. Step 4: Simplify right side
    15,644x = 200,152,193.28
  5. Step 5: Solve for x
    x = 200,152,193.28/15,644
  6. Step 6: Final answer
    x = 12,794.18

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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.