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Finding the Fourth Proportional to 5,256, 7,884 and 1,793.25

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Solution

The fourth proportional to 5,256, 7,884 and 1,793.25 is: 2,689.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,256 : 7,884 = 1,793.25 : x
  2. Step 2: Convert to fraction form
    5,256/7,884 = 1,793.25/x
  3. Step 3: Cross multiply
    5,256x = 7,884 × 1,793.25
  4. Step 4: Simplify right side
    5,256x = 14,137,983
  5. Step 5: Solve for x
    x = 14,137,983/5,256
  6. Step 6: Final answer
    x = 2,689.88

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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.