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Finding the Fourth Proportional to 2,901.18, 4,351.12 and 820.71

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Solution

The fourth proportional to 2,901.18, 4,351.12 and 820.71 is: 1,230.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,901.18 : 4,351.12 = 820.71 : x
  2. Step 2: Convert to fraction form
    2,901.18/4,351.12 = 820.71/x
  3. Step 3: Cross multiply
    2,901.18x = 4,351.12 × 820.71
  4. Step 4: Simplify right side
    2,901.18x = 3,570,993.41
  5. Step 5: Solve for x
    x = 3,570,993.41/2,901.18
  6. Step 6: Final answer
    x = 1,230.88

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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.