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Finding the Fourth Proportional to 6,086.76, 9,121.86 and 3,159

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Solution

The fourth proportional to 6,086.76, 9,121.86 and 3,159 is: 4,734.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,086.76 : 9,121.86 = 3,159 : x
  2. Step 2: Convert to fraction form
    6,086.76/9,121.86 = 3,159/x
  3. Step 3: Cross multiply
    6,086.76x = 9,121.86 × 3,159
  4. Step 4: Simplify right side
    6,086.76x = 28,815,955.74
  5. Step 5: Solve for x
    x = 28,815,955.74/6,086.76
  6. Step 6: Final answer
    x = 4,734.20

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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.