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Finding the Fourth Proportional to 20,419.47, 30,641.07 and 7,948.11

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Solution

The fourth proportional to 20,419.47, 30,641.07 and 7,948.11 is: 11,926.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,419.47 : 30,641.07 = 7,948.11 : x
  2. Step 2: Convert to fraction form
    20,419.47/30,641.07 = 7,948.11/x
  3. Step 3: Cross multiply
    20,419.47x = 30,641.07 × 7,948.11
  4. Step 4: Simplify right side
    20,419.47x = 243,538,594.88
  5. Step 5: Solve for x
    x = 243,538,594.88/20,419.47
  6. Step 6: Final answer
    x = 11,926.78

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1.5x scale

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.