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Finding the Fourth Proportional to 10,659.11, 15,983.80 and 6,277.82

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Solution

The fourth proportional to 10,659.11, 15,983.80 and 6,277.82 is: 9,413.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,659.11 : 15,983.80 = 6,277.82 : x
  2. Step 2: Convert to fraction form
    10,659.11/15,983.80 = 6,277.82/x
  3. Step 3: Cross multiply
    10,659.11x = 15,983.80 × 6,277.82
  4. Step 4: Simplify right side
    10,659.11x = 100,343,323.70
  5. Step 5: Solve for x
    x = 100,343,323.70/10,659.11
  6. Step 6: Final answer
    x = 9,413.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.