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Finding the Fourth Proportional to 20,311.52, 30,456.01 and 8,312.10

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Solution

The fourth proportional to 20,311.52, 30,456.01 and 8,312.10 is: 12,463.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,311.52 : 30,456.01 = 8,312.10 : x
  2. Step 2: Convert to fraction form
    20,311.52/30,456.01 = 8,312.10/x
  3. Step 3: Cross multiply
    20,311.52x = 30,456.01 × 8,312.10
  4. Step 4: Simplify right side
    20,311.52x = 253,153,248.44
  5. Step 5: Solve for x
    x = 253,153,248.44/20,311.52
  6. Step 6: Final answer
    x = 12,463.53

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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.