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Finding the Fourth Proportional to 3,747.65, 5,171.69 and 2,069.02

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Solution

The fourth proportional to 3,747.65, 5,171.69 and 2,069.02 is: 2,855.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,747.65 : 5,171.69 = 2,069.02 : x
  2. Step 2: Convert to fraction form
    3,747.65/5,171.69 = 2,069.02/x
  3. Step 3: Cross multiply
    3,747.65x = 5,171.69 × 2,069.02
  4. Step 4: Simplify right side
    3,747.65x = 10,700,364.95
  5. Step 5: Solve for x
    x = 10,700,364.95/3,747.65
  6. Step 6: Final answer
    x = 2,855.22

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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.