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Finding the Fourth Proportional to 3,523.71, 5,280.90 and 1,876.71

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Solution

The fourth proportional to 3,523.71, 5,280.90 and 1,876.71 is: 2,812.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,523.71 : 5,280.90 = 1,876.71 : x
  2. Step 2: Convert to fraction form
    3,523.71/5,280.90 = 1,876.71/x
  3. Step 3: Cross multiply
    3,523.71x = 5,280.90 × 1,876.71
  4. Step 4: Simplify right side
    3,523.71x = 9,910,717.84
  5. Step 5: Solve for x
    x = 9,910,717.84/3,523.71
  6. Step 6: Final answer
    x = 2,812.58

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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.