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Finding the Fourth Proportional to 3,731.76, 5,591.94 and 1,877.70

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Solution

The fourth proportional to 3,731.76, 5,591.94 and 1,877.70 is: 2,813.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,731.76 : 5,591.94 = 1,877.70 : x
  2. Step 2: Convert to fraction form
    3,731.76/5,591.94 = 1,877.70/x
  3. Step 3: Cross multiply
    3,731.76x = 5,591.94 × 1,877.70
  4. Step 4: Simplify right side
    3,731.76x = 10,499,985.74
  5. Step 5: Solve for x
    x = 10,499,985.74/3,731.76
  6. Step 6: Final answer
    x = 2,813.68

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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.