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Finding the Fourth Proportional to 8,298.84, 12,451 and 3,915.73

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Solution

The fourth proportional to 8,298.84, 12,451 and 3,915.73 is: 5,874.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,298.84 : 12,451 = 3,915.73 : x
  2. Step 2: Convert to fraction form
    8,298.84/12,451 = 3,915.73/x
  3. Step 3: Cross multiply
    8,298.84x = 12,451 × 3,915.73
  4. Step 4: Simplify right side
    8,298.84x = 48,754,754.23
  5. Step 5: Solve for x
    x = 48,754,754.23/8,298.84
  6. Step 6: Final answer
    x = 5,874.89

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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.