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Finding the Fourth Proportional to 8,002.60, 12,005.70 and 2,456.20

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Solution

The fourth proportional to 8,002.60, 12,005.70 and 2,456.20 is: 3,684.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.60 : 12,005.70 = 2,456.20 : x
  2. Step 2: Convert to fraction form
    8,002.60/12,005.70 = 2,456.20/x
  3. Step 3: Cross multiply
    8,002.60x = 12,005.70 × 2,456.20
  4. Step 4: Simplify right side
    8,002.60x = 29,488,400.34
  5. Step 5: Solve for x
    x = 29,488,400.34/8,002.60
  6. Step 6: Final answer
    x = 3,684.85

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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.