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Finding the Fourth Proportional to 3,052.38, 4,579.41 and 861.12

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Solution

The fourth proportional to 3,052.38, 4,579.41 and 861.12 is: 1,291.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,052.38 : 4,579.41 = 861.12 : x
  2. Step 2: Convert to fraction form
    3,052.38/4,579.41 = 861.12/x
  3. Step 3: Cross multiply
    3,052.38x = 4,579.41 × 861.12
  4. Step 4: Simplify right side
    3,052.38x = 3,943,421.54
  5. Step 5: Solve for x
    x = 3,943,421.54/3,052.38
  6. Step 6: Final answer
    x = 1,291.92

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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.