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Finding the Fourth Proportional to 3,687.78, 5,089.61 and 2,115.84

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Solution

The fourth proportional to 3,687.78, 5,089.61 and 2,115.84 is: 2,920.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,687.78 : 5,089.61 = 2,115.84 : x
  2. Step 2: Convert to fraction form
    3,687.78/5,089.61 = 2,115.84/x
  3. Step 3: Cross multiply
    3,687.78x = 5,089.61 × 2,115.84
  4. Step 4: Simplify right side
    3,687.78x = 10,768,800.42
  5. Step 5: Solve for x
    x = 10,768,800.42/3,687.78
  6. Step 6: Final answer
    x = 2,920.13

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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.