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Finding the Fourth Proportional to 8,314.74, 12,472 and 2,391.77

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Solution

The fourth proportional to 8,314.74, 12,472 and 2,391.77 is: 3,587.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314.74 : 12,472 = 2,391.77 : x
  2. Step 2: Convert to fraction form
    8,314.74/12,472 = 2,391.77/x
  3. Step 3: Cross multiply
    8,314.74x = 12,472 × 2,391.77
  4. Step 4: Simplify right side
    8,314.74x = 29,830,155.44
  5. Step 5: Solve for x
    x = 29,830,155.44/8,314.74
  6. Step 6: Final answer
    x = 3,587.62

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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.