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Finding the Fourth Proportional to 3,052.66, 4,578.24 and 861.28

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Solution

The fourth proportional to 3,052.66, 4,578.24 and 861.28 is: 1,291.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,052.66 : 4,578.24 = 861.28 : x
  2. Step 2: Convert to fraction form
    3,052.66/4,578.24 = 861.28/x
  3. Step 3: Cross multiply
    3,052.66x = 4,578.24 × 861.28
  4. Step 4: Simplify right side
    3,052.66x = 3,943,146.55
  5. Step 5: Solve for x
    x = 3,943,146.55/3,052.66
  6. Step 6: Final answer
    x = 1,291.71

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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.