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Finding the Fourth Proportional to 12,750, 17,596.65 and 7,161

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Solution

The fourth proportional to 12,750, 17,596.65 and 7,161 is: 9,883.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,750 : 17,596.65 = 7,161 : x
  2. Step 2: Convert to fraction form
    12,750/17,596.65 = 7,161/x
  3. Step 3: Cross multiply
    12,750x = 17,596.65 × 7,161
  4. Step 4: Simplify right side
    12,750x = 126,009,610.65
  5. Step 5: Solve for x
    x = 126,009,610.65/12,750
  6. Step 6: Final answer
    x = 9,883.11

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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.