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Finding the Fourth Proportional to 7,181, 9,909.78 and 4,697

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Solution

The fourth proportional to 7,181, 9,909.78 and 4,697 is: 6,481.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,181 : 9,909.78 = 4,697 : x
  2. Step 2: Convert to fraction form
    7,181/9,909.78 = 4,697/x
  3. Step 3: Cross multiply
    7,181x = 9,909.78 × 4,697
  4. Step 4: Simplify right side
    7,181x = 46,546,236.66
  5. Step 5: Solve for x
    x = 46,546,236.66/7,181
  6. Step 6: Final answer
    x = 6,481.86

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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.