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Finding the Fourth Proportional to 2,147.78, 3,220.84 and 686.14

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Solution

The fourth proportional to 2,147.78, 3,220.84 and 686.14 is: 1,028.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.78 : 3,220.84 = 686.14 : x
  2. Step 2: Convert to fraction form
    2,147.78/3,220.84 = 686.14/x
  3. Step 3: Cross multiply
    2,147.78x = 3,220.84 × 686.14
  4. Step 4: Simplify right side
    2,147.78x = 2,209,947.16
  5. Step 5: Solve for x
    x = 2,209,947.16/2,147.78
  6. Step 6: Final answer
    x = 1,028.94

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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.