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Finding the Fourth Proportional to 3,456.95, 4,769.96 and 3,281.78

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Solution

The fourth proportional to 3,456.95, 4,769.96 and 3,281.78 is: 4,528.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.95 : 4,769.96 = 3,281.78 : x
  2. Step 2: Convert to fraction form
    3,456.95/4,769.96 = 3,281.78/x
  3. Step 3: Cross multiply
    3,456.95x = 4,769.96 × 3,281.78
  4. Step 4: Simplify right side
    3,456.95x = 15,653,954.84
  5. Step 5: Solve for x
    x = 15,653,954.84/3,456.95
  6. Step 6: Final answer
    x = 4,528.26

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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.