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Finding the Fourth Proportional to 3,052.28, 4,578.01 and 861.18

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Solution

The fourth proportional to 3,052.28, 4,578.01 and 861.18 is: 1,291.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,052.28 : 4,578.01 = 861.18 : x
  2. Step 2: Convert to fraction form
    3,052.28/4,578.01 = 861.18/x
  3. Step 3: Cross multiply
    3,052.28x = 4,578.01 × 861.18
  4. Step 4: Simplify right side
    3,052.28x = 3,942,499.94
  5. Step 5: Solve for x
    x = 3,942,499.94/3,052.28
  6. Step 6: Final answer
    x = 1,291.66

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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.