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Finding the Fourth Proportional to 8,374, 12,566.76 and 2,902

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Solution

The fourth proportional to 8,374, 12,566.76 and 2,902 is: 4,355.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,374 : 12,566.76 = 2,902 : x
  2. Step 2: Convert to fraction form
    8,374/12,566.76 = 2,902/x
  3. Step 3: Cross multiply
    8,374x = 12,566.76 × 2,902
  4. Step 4: Simplify right side
    8,374x = 36,468,737.52
  5. Step 5: Solve for x
    x = 36,468,737.52/8,374
  6. Step 6: Final answer
    x = 4,355.00

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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.