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Finding the Fourth Proportional to 3,501.92, 5,252.88 and 869.42

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Solution

The fourth proportional to 3,501.92, 5,252.88 and 869.42 is: 1,304.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,501.92 : 5,252.88 = 869.42 : x
  2. Step 2: Convert to fraction form
    3,501.92/5,252.88 = 869.42/x
  3. Step 3: Cross multiply
    3,501.92x = 5,252.88 × 869.42
  4. Step 4: Simplify right side
    3,501.92x = 4,566,958.93
  5. Step 5: Solve for x
    x = 4,566,958.93/3,501.92
  6. Step 6: Final answer
    x = 1,304.13

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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.