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Finding the Fourth Proportional to 3,012.39, 4,517.37 and 931.91

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Solution

The fourth proportional to 3,012.39, 4,517.37 and 931.91 is: 1,397.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,012.39 : 4,517.37 = 931.91 : x
  2. Step 2: Convert to fraction form
    3,012.39/4,517.37 = 931.91/x
  3. Step 3: Cross multiply
    3,012.39x = 4,517.37 × 931.91
  4. Step 4: Simplify right side
    3,012.39x = 4,209,759.69
  5. Step 5: Solve for x
    x = 4,209,759.69/3,012.39
  6. Step 6: Final answer
    x = 1,397.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.