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Finding the Fourth Proportional to 5,773.80, 8,661.88 and 1,615

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Solution

The fourth proportional to 5,773.80, 8,661.88 and 1,615 is: 2,422.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,773.80 : 8,661.88 = 1,615 : x
  2. Step 2: Convert to fraction form
    5,773.80/8,661.88 = 1,615/x
  3. Step 3: Cross multiply
    5,773.80x = 8,661.88 × 1,615
  4. Step 4: Simplify right side
    5,773.80x = 13,988,936.20
  5. Step 5: Solve for x
    x = 13,988,936.20/5,773.80
  6. Step 6: Final answer
    x = 2,422.83

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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.