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Finding the Fourth Proportional to 5,591.87, 8,387.71 and 1,431.84

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Solution

The fourth proportional to 5,591.87, 8,387.71 and 1,431.84 is: 2,147.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,591.87 : 8,387.71 = 1,431.84 : x
  2. Step 2: Convert to fraction form
    5,591.87/8,387.71 = 1,431.84/x
  3. Step 3: Cross multiply
    5,591.87x = 8,387.71 × 1,431.84
  4. Step 4: Simplify right side
    5,591.87x = 12,009,858.69
  5. Step 5: Solve for x
    x = 12,009,858.69/5,591.87
  6. Step 6: Final answer
    x = 2,147.74

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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.