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Finding the Fourth Proportional to 5,197.58, 7,177.70 and 4,447.15

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Solution

The fourth proportional to 5,197.58, 7,177.70 and 4,447.15 is: 6,141.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.58 : 7,177.70 = 4,447.15 : x
  2. Step 2: Convert to fraction form
    5,197.58/7,177.70 = 4,447.15/x
  3. Step 3: Cross multiply
    5,197.58x = 7,177.70 × 4,447.15
  4. Step 4: Simplify right side
    5,197.58x = 31,920,301.73
  5. Step 5: Solve for x
    x = 31,920,301.73/5,197.58
  6. Step 6: Final answer
    x = 6,141.38

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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.