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Finding the Fourth Proportional to 5,591.29, 8,387 and 2,428

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Solution

The fourth proportional to 5,591.29, 8,387 and 2,428 is: 3,642.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,591.29 : 8,387 = 2,428 : x
  2. Step 2: Convert to fraction form
    5,591.29/8,387 = 2,428/x
  3. Step 3: Cross multiply
    5,591.29x = 8,387 × 2,428
  4. Step 4: Simplify right side
    5,591.29x = 20,363,636
  5. Step 5: Solve for x
    x = 20,363,636/5,591.29
  6. Step 6: Final answer
    x = 3,642.03

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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.