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Finding the Fourth Proportional to 5,902.79, 8,145.17 and 3,384.78

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Solution

The fourth proportional to 5,902.79, 8,145.17 and 3,384.78 is: 4,670.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902.79 : 8,145.17 = 3,384.78 : x
  2. Step 2: Convert to fraction form
    5,902.79/8,145.17 = 3,384.78/x
  3. Step 3: Cross multiply
    5,902.79x = 8,145.17 × 3,384.78
  4. Step 4: Simplify right side
    5,902.79x = 27,569,591.59
  5. Step 5: Solve for x
    x = 27,569,591.59/5,902.79
  6. Step 6: Final answer
    x = 4,670.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.