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Finding the Fourth Proportional to 5,686.84, 8,517.94 and 2,759

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Solution

The fourth proportional to 5,686.84, 8,517.94 and 2,759 is: 4,132.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,686.84 : 8,517.94 = 2,759 : x
  2. Step 2: Convert to fraction form
    5,686.84/8,517.94 = 2,759/x
  3. Step 3: Cross multiply
    5,686.84x = 8,517.94 × 2,759
  4. Step 4: Simplify right side
    5,686.84x = 23,500,996.46
  5. Step 5: Solve for x
    x = 23,500,996.46/5,686.84
  6. Step 6: Final answer
    x = 4,132.52

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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.