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Finding the Fourth Proportional to 8,472.94, 12,707 and 5,348.27

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Solution

The fourth proportional to 8,472.94, 12,707 and 5,348.27 is: 8,020.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,472.94 : 12,707 = 5,348.27 : x
  2. Step 2: Convert to fraction form
    8,472.94/12,707 = 5,348.27/x
  3. Step 3: Cross multiply
    8,472.94x = 12,707 × 5,348.27
  4. Step 4: Simplify right side
    8,472.94x = 67,960,466.89
  5. Step 5: Solve for x
    x = 67,960,466.89/8,472.94
  6. Step 6: Final answer
    x = 8,020.88

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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.