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Finding the Fourth Proportional to 3,011.84, 4,517.28 and 820.72

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Solution

The fourth proportional to 3,011.84, 4,517.28 and 820.72 is: 1,230.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,011.84 : 4,517.28 = 820.72 : x
  2. Step 2: Convert to fraction form
    3,011.84/4,517.28 = 820.72/x
  3. Step 3: Cross multiply
    3,011.84x = 4,517.28 × 820.72
  4. Step 4: Simplify right side
    3,011.84x = 3,707,422.04
  5. Step 5: Solve for x
    x = 3,707,422.04/3,011.84
  6. Step 6: Final answer
    x = 1,230.95

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1.5x scale

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.