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Finding the Fourth Proportional to 3,342, 5,012.18 and 1,393.14

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Solution

The fourth proportional to 3,342, 5,012.18 and 1,393.14 is: 2,089.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,342 : 5,012.18 = 1,393.14 : x
  2. Step 2: Convert to fraction form
    3,342/5,012.18 = 1,393.14/x
  3. Step 3: Cross multiply
    3,342x = 5,012.18 × 1,393.14
  4. Step 4: Simplify right side
    3,342x = 6,982,668.45
  5. Step 5: Solve for x
    x = 6,982,668.45/3,342
  6. Step 6: Final answer
    x = 2,089.37

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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.