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Finding the Fourth Proportional to 2,169.12, 3,253.68 and 869.68

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Solution

The fourth proportional to 2,169.12, 3,253.68 and 869.68 is: 1,304.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.12 : 3,253.68 = 869.68 : x
  2. Step 2: Convert to fraction form
    2,169.12/3,253.68 = 869.68/x
  3. Step 3: Cross multiply
    2,169.12x = 3,253.68 × 869.68
  4. Step 4: Simplify right side
    2,169.12x = 2,829,660.42
  5. Step 5: Solve for x
    x = 2,829,660.42/2,169.12
  6. Step 6: Final answer
    x = 1,304.52

Related Problems

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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.