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Finding the Fourth Proportional to 5,304.78, 7,958.18 and 2,142.47

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Solution

The fourth proportional to 5,304.78, 7,958.18 and 2,142.47 is: 3,214.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,304.78 : 7,958.18 = 2,142.47 : x
  2. Step 2: Convert to fraction form
    5,304.78/7,958.18 = 2,142.47/x
  3. Step 3: Cross multiply
    5,304.78x = 7,958.18 × 2,142.47
  4. Step 4: Simplify right side
    5,304.78x = 17,050,161.90
  5. Step 5: Solve for x
    x = 17,050,161.90/5,304.78
  6. Step 6: Final answer
    x = 3,214.11

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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.