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Finding the Fourth Proportional to 20,447.61, 30,657.04 and 7,957.11

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Solution

The fourth proportional to 20,447.61, 30,657.04 and 7,957.11 is: 11,930.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,447.61 : 30,657.04 = 7,957.11 : x
  2. Step 2: Convert to fraction form
    20,447.61/30,657.04 = 7,957.11/x
  3. Step 3: Cross multiply
    20,447.61x = 30,657.04 × 7,957.11
  4. Step 4: Simplify right side
    20,447.61x = 243,941,439.55
  5. Step 5: Solve for x
    x = 243,941,439.55/20,447.61
  6. Step 6: Final answer
    x = 11,930.07

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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.