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Finding the Fourth Proportional to 5,648.76, 8,471.10 and 1,949.88

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Solution

The fourth proportional to 5,648.76, 8,471.10 and 1,949.88 is: 2,924.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648.76 : 8,471.10 = 1,949.88 : x
  2. Step 2: Convert to fraction form
    5,648.76/8,471.10 = 1,949.88/x
  3. Step 3: Cross multiply
    5,648.76x = 8,471.10 × 1,949.88
  4. Step 4: Simplify right side
    5,648.76x = 16,517,628.47
  5. Step 5: Solve for x
    x = 16,517,628.47/5,648.76
  6. Step 6: Final answer
    x = 2,924.12

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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.