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Finding the Fourth Proportional to 20,340.52, 30,458.94 and 9,925

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Solution

The fourth proportional to 20,340.52, 30,458.94 and 9,925 is: 14,862.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,340.52 : 30,458.94 = 9,925 : x
  2. Step 2: Convert to fraction form
    20,340.52/30,458.94 = 9,925/x
  3. Step 3: Cross multiply
    20,340.52x = 30,458.94 × 9,925
  4. Step 4: Simplify right side
    20,340.52x = 302,304,979.50
  5. Step 5: Solve for x
    x = 302,304,979.50/20,340.52
  6. Step 6: Final answer
    x = 14,862.21

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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.