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Finding the Fourth Proportional to 3,052.85, 4,580.12 and 861.59

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Solution

The fourth proportional to 3,052.85, 4,580.12 and 861.59 is: 1,292.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,052.85 : 4,580.12 = 861.59 : x
  2. Step 2: Convert to fraction form
    3,052.85/4,580.12 = 861.59/x
  3. Step 3: Cross multiply
    3,052.85x = 4,580.12 × 861.59
  4. Step 4: Simplify right side
    3,052.85x = 3,946,158.38
  5. Step 5: Solve for x
    x = 3,946,158.38/3,052.85
  6. Step 6: Final answer
    x = 1,292.62

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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.