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Finding the Fourth Proportional to 2,229.29, 3,342.68 and 912.68

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Solution

The fourth proportional to 2,229.29, 3,342.68 and 912.68 is: 1,368.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,229.29 : 3,342.68 = 912.68 : x
  2. Step 2: Convert to fraction form
    2,229.29/3,342.68 = 912.68/x
  3. Step 3: Cross multiply
    2,229.29x = 3,342.68 × 912.68
  4. Step 4: Simplify right side
    2,229.29x = 3,050,791.86
  5. Step 5: Solve for x
    x = 3,050,791.86/2,229.29
  6. Step 6: Final answer
    x = 1,368.50

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Double scale
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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.