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Finding the Fourth Proportional to 12,750, 17,595 and 7,162.08

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Solution

The fourth proportional to 12,750, 17,595 and 7,162.08 is: 9,883.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,750 : 17,595 = 7,162.08 : x
  2. Step 2: Convert to fraction form
    12,750/17,595 = 7,162.08/x
  3. Step 3: Cross multiply
    12,750x = 17,595 × 7,162.08
  4. Step 4: Simplify right side
    12,750x = 126,016,797.60
  5. Step 5: Solve for x
    x = 126,016,797.60/12,750
  6. Step 6: Final answer
    x = 9,883.67

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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.