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Finding the Fourth Proportional to 8,221.50, 12,337.92 and 7,124.76

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Solution

The fourth proportional to 8,221.50, 12,337.92 and 7,124.76 is: 10,692.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,221.50 : 12,337.92 = 7,124.76 : x
  2. Step 2: Convert to fraction form
    8,221.50/12,337.92 = 7,124.76/x
  3. Step 3: Cross multiply
    8,221.50x = 12,337.92 × 7,124.76
  4. Step 4: Simplify right side
    8,221.50x = 87,904,718.90
  5. Step 5: Solve for x
    x = 87,904,718.90/8,221.50
  6. Step 6: Final answer
    x = 10,692.05

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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.