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Finding the Fourth Proportional to 3,869.79, 5,342.52 and 2,692.46

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Solution

The fourth proportional to 3,869.79, 5,342.52 and 2,692.46 is: 3,717.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869.79 : 5,342.52 = 2,692.46 : x
  2. Step 2: Convert to fraction form
    3,869.79/5,342.52 = 2,692.46/x
  3. Step 3: Cross multiply
    3,869.79x = 5,342.52 × 2,692.46
  4. Step 4: Simplify right side
    3,869.79x = 14,384,494.69
  5. Step 5: Solve for x
    x = 14,384,494.69/3,869.79
  6. Step 6: Final answer
    x = 3,717.13

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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.