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Finding the Fourth Proportional to 8,658.49, 12,977.48 and 3,974.56

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Solution

The fourth proportional to 8,658.49, 12,977.48 and 3,974.56 is: 5,957.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,658.49 : 12,977.48 = 3,974.56 : x
  2. Step 2: Convert to fraction form
    8,658.49/12,977.48 = 3,974.56/x
  3. Step 3: Cross multiply
    8,658.49x = 12,977.48 × 3,974.56
  4. Step 4: Simplify right side
    8,658.49x = 51,579,772.91
  5. Step 5: Solve for x
    x = 51,579,772.91/8,658.49
  6. Step 6: Final answer
    x = 5,957.13

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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.