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Finding the Fourth Proportional to 2,507.47, 3,734.73 and 2,375.75

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Solution

The fourth proportional to 2,507.47, 3,734.73 and 2,375.75 is: 3,538.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.47 : 3,734.73 = 2,375.75 : x
  2. Step 2: Convert to fraction form
    2,507.47/3,734.73 = 2,375.75/x
  3. Step 3: Cross multiply
    2,507.47x = 3,734.73 × 2,375.75
  4. Step 4: Simplify right side
    2,507.47x = 8,872,794.13
  5. Step 5: Solve for x
    x = 8,872,794.13/2,507.47
  6. Step 6: Final answer
    x = 3,538.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.