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Finding the Fourth Proportional to 3,052.88, 4,578.77 and 861.09

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Solution

The fourth proportional to 3,052.88, 4,578.77 and 861.09 is: 1,291.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,052.88 : 4,578.77 = 861.09 : x
  2. Step 2: Convert to fraction form
    3,052.88/4,578.77 = 861.09/x
  3. Step 3: Cross multiply
    3,052.88x = 4,578.77 × 861.09
  4. Step 4: Simplify right side
    3,052.88x = 3,942,728.75
  5. Step 5: Solve for x
    x = 3,942,728.75/3,052.88
  6. Step 6: Final answer
    x = 1,291.48

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Double scale
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Similar ratio
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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.