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Finding the Fourth Proportional to 3,432.94, 5,144.49 and 1,869.53

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Solution

The fourth proportional to 3,432.94, 5,144.49 and 1,869.53 is: 2,801.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,432.94 : 5,144.49 = 1,869.53 : x
  2. Step 2: Convert to fraction form
    3,432.94/5,144.49 = 1,869.53/x
  3. Step 3: Cross multiply
    3,432.94x = 5,144.49 × 1,869.53
  4. Step 4: Simplify right side
    3,432.94x = 9,617,791.25
  5. Step 5: Solve for x
    x = 9,617,791.25/3,432.94
  6. Step 6: Final answer
    x = 2,801.62

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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.