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Finding the Fourth Proportional to 5,354, 8,031 and 1,891.28

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Solution

The fourth proportional to 5,354, 8,031 and 1,891.28 is: 2,836.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,354 : 8,031 = 1,891.28 : x
  2. Step 2: Convert to fraction form
    5,354/8,031 = 1,891.28/x
  3. Step 3: Cross multiply
    5,354x = 8,031 × 1,891.28
  4. Step 4: Simplify right side
    5,354x = 15,188,869.68
  5. Step 5: Solve for x
    x = 15,188,869.68/5,354
  6. Step 6: Final answer
    x = 2,836.92

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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.