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Finding the Fourth Proportional to 3,059.62, 4,589.43 and 868.35

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Solution

The fourth proportional to 3,059.62, 4,589.43 and 868.35 is: 1,302.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,059.62 : 4,589.43 = 868.35 : x
  2. Step 2: Convert to fraction form
    3,059.62/4,589.43 = 868.35/x
  3. Step 3: Cross multiply
    3,059.62x = 4,589.43 × 868.35
  4. Step 4: Simplify right side
    3,059.62x = 3,985,245.49
  5. Step 5: Solve for x
    x = 3,985,245.49/3,059.62
  6. Step 6: Final answer
    x = 1,302.53

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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.