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Finding the Fourth Proportional to 20,275.92, 30,423.60 and 9,882

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Solution

The fourth proportional to 20,275.92, 30,423.60 and 9,882 is: 14,827.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,275.92 : 30,423.60 = 9,882 : x
  2. Step 2: Convert to fraction form
    20,275.92/30,423.60 = 9,882/x
  3. Step 3: Cross multiply
    20,275.92x = 30,423.60 × 9,882
  4. Step 4: Simplify right side
    20,275.92x = 300,646,015.20
  5. Step 5: Solve for x
    x = 300,646,015.20/20,275.92
  6. Step 6: Final answer
    x = 14,827.74

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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.