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Finding the Fourth Proportional to 3,747.68, 5,171.68 and 2,069.04

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Solution

The fourth proportional to 3,747.68, 5,171.68 and 2,069.04 is: 2,855.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,747.68 : 5,171.68 = 2,069.04 : x
  2. Step 2: Convert to fraction form
    3,747.68/5,171.68 = 2,069.04/x
  3. Step 3: Cross multiply
    3,747.68x = 5,171.68 × 2,069.04
  4. Step 4: Simplify right side
    3,747.68x = 10,700,412.79
  5. Step 5: Solve for x
    x = 10,700,412.79/3,747.68
  6. Step 6: Final answer
    x = 2,855.21

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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.