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Finding the Fourth Proportional to 2,505.62, 3,740.50 and 2,177.66

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Solution

The fourth proportional to 2,505.62, 3,740.50 and 2,177.66 is: 3,250.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.62 : 3,740.50 = 2,177.66 : x
  2. Step 2: Convert to fraction form
    2,505.62/3,740.50 = 2,177.66/x
  3. Step 3: Cross multiply
    2,505.62x = 3,740.50 × 2,177.66
  4. Step 4: Simplify right side
    2,505.62x = 8,145,537.23
  5. Step 5: Solve for x
    x = 8,145,537.23/2,505.62
  6. Step 6: Final answer
    x = 3,250.91

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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.