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Finding the Fourth Proportional to 2,089.38, 3,134.13 and 993.18

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Solution

The fourth proportional to 2,089.38, 3,134.13 and 993.18 is: 1,489.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.38 : 3,134.13 = 993.18 : x
  2. Step 2: Convert to fraction form
    2,089.38/3,134.13 = 993.18/x
  3. Step 3: Cross multiply
    2,089.38x = 3,134.13 × 993.18
  4. Step 4: Simplify right side
    2,089.38x = 3,112,755.23
  5. Step 5: Solve for x
    x = 3,112,755.23/2,089.38
  6. Step 6: Final answer
    x = 1,489.80

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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.