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Finding the Fourth Proportional to 6,661.68, 9,986.91 and 3,539.76

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Solution

The fourth proportional to 6,661.68, 9,986.91 and 3,539.76 is: 5,306.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,661.68 : 9,986.91 = 3,539.76 : x
  2. Step 2: Convert to fraction form
    6,661.68/9,986.91 = 3,539.76/x
  3. Step 3: Cross multiply
    6,661.68x = 9,986.91 × 3,539.76
  4. Step 4: Simplify right side
    6,661.68x = 35,351,264.54
  5. Step 5: Solve for x
    x = 35,351,264.54/6,661.68
  6. Step 6: Final answer
    x = 5,306.66

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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.