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Finding the Fourth Proportional to 3,661.61, 5,490.18 and 1,437.78

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Solution

The fourth proportional to 3,661.61, 5,490.18 and 1,437.78 is: 2,155.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.61 : 5,490.18 = 1,437.78 : x
  2. Step 2: Convert to fraction form
    3,661.61/5,490.18 = 1,437.78/x
  3. Step 3: Cross multiply
    3,661.61x = 5,490.18 × 1,437.78
  4. Step 4: Simplify right side
    3,661.61x = 7,893,645.27
  5. Step 5: Solve for x
    x = 7,893,645.27/3,661.61
  6. Step 6: Final answer
    x = 2,155.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.