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Finding the Fourth Proportional to 2,229.12, 3,342 and 931.48

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Solution

The fourth proportional to 2,229.12, 3,342 and 931.48 is: 1,396.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,229.12 : 3,342 = 931.48 : x
  2. Step 2: Convert to fraction form
    2,229.12/3,342 = 931.48/x
  3. Step 3: Cross multiply
    2,229.12x = 3,342 × 931.48
  4. Step 4: Simplify right side
    2,229.12x = 3,113,006.16
  5. Step 5: Solve for x
    x = 3,113,006.16/2,229.12
  6. Step 6: Final answer
    x = 1,396.52

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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.