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Finding the Fourth Proportional to 8,157.92, 12,238.90 and 2,314.58

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Solution

The fourth proportional to 8,157.92, 12,238.90 and 2,314.58 is: 3,472.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,157.92 : 12,238.90 = 2,314.58 : x
  2. Step 2: Convert to fraction form
    8,157.92/12,238.90 = 2,314.58/x
  3. Step 3: Cross multiply
    8,157.92x = 12,238.90 × 2,314.58
  4. Step 4: Simplify right side
    8,157.92x = 28,327,913.16
  5. Step 5: Solve for x
    x = 28,327,913.16/8,157.92
  6. Step 6: Final answer
    x = 3,472.44

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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.