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Finding the Fourth Proportional to 8,494.57, 12,740.38 and 2,254.90

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Solution

The fourth proportional to 8,494.57, 12,740.38 and 2,254.90 is: 3,381.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,494.57 : 12,740.38 = 2,254.90 : x
  2. Step 2: Convert to fraction form
    8,494.57/12,740.38 = 2,254.90/x
  3. Step 3: Cross multiply
    8,494.57x = 12,740.38 × 2,254.90
  4. Step 4: Simplify right side
    8,494.57x = 28,728,284.01
  5. Step 5: Solve for x
    x = 28,728,284.01/8,494.57
  6. Step 6: Final answer
    x = 3,381.96

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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.