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Finding the Fourth Proportional to 3,585.76, 4,949.84 and 3,086.44

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Solution

The fourth proportional to 3,585.76, 4,949.84 and 3,086.44 is: 4,260.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,585.76 : 4,949.84 = 3,086.44 : x
  2. Step 2: Convert to fraction form
    3,585.76/4,949.84 = 3,086.44/x
  3. Step 3: Cross multiply
    3,585.76x = 4,949.84 × 3,086.44
  4. Step 4: Simplify right side
    3,585.76x = 15,277,384.17
  5. Step 5: Solve for x
    x = 15,277,384.17/3,585.76
  6. Step 6: Final answer
    x = 4,260.57

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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.