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Finding the Fourth Proportional to 3,462.74, 5,194.11 and 865.70

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Solution

The fourth proportional to 3,462.74, 5,194.11 and 865.70 is: 1,298.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.74 : 5,194.11 = 865.70 : x
  2. Step 2: Convert to fraction form
    3,462.74/5,194.11 = 865.70/x
  3. Step 3: Cross multiply
    3,462.74x = 5,194.11 × 865.70
  4. Step 4: Simplify right side
    3,462.74x = 4,496,541.03
  5. Step 5: Solve for x
    x = 4,496,541.03/3,462.74
  6. Step 6: Final answer
    x = 1,298.55

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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.