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Finding the Fourth Proportional to 2,191.59, 3,287.39 and 893.16

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Solution

The fourth proportional to 2,191.59, 3,287.39 and 893.16 is: 1,339.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.59 : 3,287.39 = 893.16 : x
  2. Step 2: Convert to fraction form
    2,191.59/3,287.39 = 893.16/x
  3. Step 3: Cross multiply
    2,191.59x = 3,287.39 × 893.16
  4. Step 4: Simplify right side
    2,191.59x = 2,936,160.79
  5. Step 5: Solve for x
    x = 2,936,160.79/2,191.59
  6. Step 6: Final answer
    x = 1,339.74

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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.