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Finding the Fourth Proportional to 3,059.84, 4,589.74 and 868.57

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Solution

The fourth proportional to 3,059.84, 4,589.74 and 868.57 is: 1,302.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,059.84 : 4,589.74 = 868.57 : x
  2. Step 2: Convert to fraction form
    3,059.84/4,589.74 = 868.57/x
  3. Step 3: Cross multiply
    3,059.84x = 4,589.74 × 868.57
  4. Step 4: Simplify right side
    3,059.84x = 3,986,510.47
  5. Step 5: Solve for x
    x = 3,986,510.47/3,059.84
  6. Step 6: Final answer
    x = 1,302.85

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Half scale
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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.