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Finding the Fourth Proportional to 8,439, 12,658.52 and 2,283

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Solution

The fourth proportional to 8,439, 12,658.52 and 2,283 is: 3,424.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,439 : 12,658.52 = 2,283 : x
  2. Step 2: Convert to fraction form
    8,439/12,658.52 = 2,283/x
  3. Step 3: Cross multiply
    8,439x = 12,658.52 × 2,283
  4. Step 4: Simplify right side
    8,439x = 28,899,401.16
  5. Step 5: Solve for x
    x = 28,899,401.16/8,439
  6. Step 6: Final answer
    x = 3,424.51

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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.