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Finding the Fourth Proportional to 3,052.44, 4,578.77 and 861.17

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Solution

The fourth proportional to 3,052.44, 4,578.77 and 861.17 is: 1,291.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,052.44 : 4,578.77 = 861.17 : x
  2. Step 2: Convert to fraction form
    3,052.44/4,578.77 = 861.17/x
  3. Step 3: Cross multiply
    3,052.44x = 4,578.77 × 861.17
  4. Step 4: Simplify right side
    3,052.44x = 3,943,078.62
  5. Step 5: Solve for x
    x = 3,943,078.62/3,052.44
  6. Step 6: Final answer
    x = 1,291.78

Related Problems

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1.5x scale

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.