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Finding the Fourth Proportional to 5,711.88, 8,569.08 and 2,427.78

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Solution

The fourth proportional to 5,711.88, 8,569.08 and 2,427.78 is: 3,642.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,711.88 : 8,569.08 = 2,427.78 : x
  2. Step 2: Convert to fraction form
    5,711.88/8,569.08 = 2,427.78/x
  3. Step 3: Cross multiply
    5,711.88x = 8,569.08 × 2,427.78
  4. Step 4: Simplify right side
    5,711.88x = 20,803,786.06
  5. Step 5: Solve for x
    x = 20,803,786.06/5,711.88
  6. Step 6: Final answer
    x = 3,642.20

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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.