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Finding the Fourth Proportional to 8,402.89, 12,607.17 and 3,474.85

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Solution

The fourth proportional to 8,402.89, 12,607.17 and 3,474.85 is: 5,213.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,402.89 : 12,607.17 = 3,474.85 : x
  2. Step 2: Convert to fraction form
    8,402.89/12,607.17 = 3,474.85/x
  3. Step 3: Cross multiply
    8,402.89x = 12,607.17 × 3,474.85
  4. Step 4: Simplify right side
    8,402.89x = 43,808,024.67
  5. Step 5: Solve for x
    x = 43,808,024.67/8,402.89
  6. Step 6: Final answer
    x = 5,213.45

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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.