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Finding the Fourth Proportional to 8,494.42, 12,742.20 and 2,254.34

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Solution

The fourth proportional to 8,494.42, 12,742.20 and 2,254.34 is: 3,381.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,494.42 : 12,742.20 = 2,254.34 : x
  2. Step 2: Convert to fraction form
    8,494.42/12,742.20 = 2,254.34/x
  3. Step 3: Cross multiply
    8,494.42x = 12,742.20 × 2,254.34
  4. Step 4: Simplify right side
    8,494.42x = 28,725,251.15
  5. Step 5: Solve for x
    x = 28,725,251.15/8,494.42
  6. Step 6: Final answer
    x = 3,381.66

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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.