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Finding the Fourth Proportional to 15,609, 23,417.28 and 6,375

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Solution

The fourth proportional to 15,609, 23,417.28 and 6,375 is: 9,564.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,609 : 23,417.28 = 6,375 : x
  2. Step 2: Convert to fraction form
    15,609/23,417.28 = 6,375/x
  3. Step 3: Cross multiply
    15,609x = 23,417.28 × 6,375
  4. Step 4: Simplify right side
    15,609x = 149,285,160
  5. Step 5: Solve for x
    x = 149,285,160/15,609
  6. Step 6: Final answer
    x = 9,564.04

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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.