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Finding the Fourth Proportional to 8,402.67, 12,600.36 and 2,557.92

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Solution

The fourth proportional to 8,402.67, 12,600.36 and 2,557.92 is: 3,835.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,402.67 : 12,600.36 = 2,557.92 : x
  2. Step 2: Convert to fraction form
    8,402.67/12,600.36 = 2,557.92/x
  3. Step 3: Cross multiply
    8,402.67x = 12,600.36 × 2,557.92
  4. Step 4: Simplify right side
    8,402.67x = 32,230,712.85
  5. Step 5: Solve for x
    x = 32,230,712.85/8,402.67
  6. Step 6: Final answer
    x = 3,835.77

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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.