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Finding the Fourth Proportional to 2,089.12, 3,133.68 and 721.12

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Solution

The fourth proportional to 2,089.12, 3,133.68 and 721.12 is: 1,081.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.12 : 3,133.68 = 721.12 : x
  2. Step 2: Convert to fraction form
    2,089.12/3,133.68 = 721.12/x
  3. Step 3: Cross multiply
    2,089.12x = 3,133.68 × 721.12
  4. Step 4: Simplify right side
    2,089.12x = 2,259,759.32
  5. Step 5: Solve for x
    x = 2,259,759.32/2,089.12
  6. Step 6: Final answer
    x = 1,081.68

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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.