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Finding the Fourth Proportional to 3,281.76, 4,923 and 3,091.68

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Solution

The fourth proportional to 3,281.76, 4,923 and 3,091.68 is: 4,637.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,281.76 : 4,923 = 3,091.68 : x
  2. Step 2: Convert to fraction form
    3,281.76/4,923 = 3,091.68/x
  3. Step 3: Cross multiply
    3,281.76x = 4,923 × 3,091.68
  4. Step 4: Simplify right side
    3,281.76x = 15,220,340.64
  5. Step 5: Solve for x
    x = 15,220,340.64/3,281.76
  6. Step 6: Final answer
    x = 4,637.86

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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.