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Finding the Fourth Proportional to 2,144.80, 3,217.36 and 912.08

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Solution

The fourth proportional to 2,144.80, 3,217.36 and 912.08 is: 1,368.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.80 : 3,217.36 = 912.08 : x
  2. Step 2: Convert to fraction form
    2,144.80/3,217.36 = 912.08/x
  3. Step 3: Cross multiply
    2,144.80x = 3,217.36 × 912.08
  4. Step 4: Simplify right side
    2,144.80x = 2,934,489.71
  5. Step 5: Solve for x
    x = 2,934,489.71/2,144.80
  6. Step 6: Final answer
    x = 1,368.19

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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.