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Finding the Fourth Proportional to 8,581.72, 12,872.70 and 2,425.72

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Solution

The fourth proportional to 8,581.72, 12,872.70 and 2,425.72 is: 3,638.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,581.72 : 12,872.70 = 2,425.72 : x
  2. Step 2: Convert to fraction form
    8,581.72/12,872.70 = 2,425.72/x
  3. Step 3: Cross multiply
    8,581.72x = 12,872.70 × 2,425.72
  4. Step 4: Simplify right side
    8,581.72x = 31,225,565.84
  5. Step 5: Solve for x
    x = 31,225,565.84/8,581.72
  6. Step 6: Final answer
    x = 3,638.61

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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.