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Finding the Fourth Proportional to 15,947.01, 23,920.31 and 7,175.72

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Solution

The fourth proportional to 15,947.01, 23,920.31 and 7,175.72 is: 10,763.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,947.01 : 23,920.31 = 7,175.72 : x
  2. Step 2: Convert to fraction form
    15,947.01/23,920.31 = 7,175.72/x
  3. Step 3: Cross multiply
    15,947.01x = 23,920.31 × 7,175.72
  4. Step 4: Simplify right side
    15,947.01x = 171,645,524.61
  5. Step 5: Solve for x
    x = 171,645,524.61/15,947.01
  6. Step 6: Final answer
    x = 10,763.49

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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.