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Finding the Fourth Proportional to 8,986, 12,402.60 and 5,675.92

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Solution

The fourth proportional to 8,986, 12,402.60 and 5,675.92 is: 7,833.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,986 : 12,402.60 = 5,675.92 : x
  2. Step 2: Convert to fraction form
    8,986/12,402.60 = 5,675.92/x
  3. Step 3: Cross multiply
    8,986x = 12,402.60 × 5,675.92
  4. Step 4: Simplify right side
    8,986x = 70,396,165.39
  5. Step 5: Solve for x
    x = 70,396,165.39/8,986
  6. Step 6: Final answer
    x = 7,833.98

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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.