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Finding the Fourth Proportional to 7,177.88, 9,905.64 and 4,034.12

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Solution

The fourth proportional to 7,177.88, 9,905.64 and 4,034.12 is: 5,567.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,177.88 : 9,905.64 = 4,034.12 : x
  2. Step 2: Convert to fraction form
    7,177.88/9,905.64 = 4,034.12/x
  3. Step 3: Cross multiply
    7,177.88x = 9,905.64 × 4,034.12
  4. Step 4: Simplify right side
    7,177.88x = 39,960,540.44
  5. Step 5: Solve for x
    x = 39,960,540.44/7,177.88
  6. Step 6: Final answer
    x = 5,567.18

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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.