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Finding the Fourth Proportional to 7,230.78, 9,978.42 and 3,918.78

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Solution

The fourth proportional to 7,230.78, 9,978.42 and 3,918.78 is: 5,407.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,230.78 : 9,978.42 = 3,918.78 : x
  2. Step 2: Convert to fraction form
    7,230.78/9,978.42 = 3,918.78/x
  3. Step 3: Cross multiply
    7,230.78x = 9,978.42 × 3,918.78
  4. Step 4: Simplify right side
    7,230.78x = 39,103,232.73
  5. Step 5: Solve for x
    x = 39,103,232.73/7,230.78
  6. Step 6: Final answer
    x = 5,407.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.