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Finding the Fourth Proportional to 2,229.19, 3,343.71 and 912.57

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Solution

The fourth proportional to 2,229.19, 3,343.71 and 912.57 is: 1,368.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,229.19 : 3,343.71 = 912.57 : x
  2. Step 2: Convert to fraction form
    2,229.19/3,343.71 = 912.57/x
  3. Step 3: Cross multiply
    2,229.19x = 3,343.71 × 912.57
  4. Step 4: Simplify right side
    2,229.19x = 3,051,360.32
  5. Step 5: Solve for x
    x = 3,051,360.32/2,229.19
  6. Step 6: Final answer
    x = 1,368.82

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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.