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Finding the Fourth Proportional to 5,278.32, 7,917.84 and 1,991.32

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Solution

The fourth proportional to 5,278.32, 7,917.84 and 1,991.32 is: 2,987.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,278.32 : 7,917.84 = 1,991.32 : x
  2. Step 2: Convert to fraction form
    5,278.32/7,917.84 = 1,991.32/x
  3. Step 3: Cross multiply
    5,278.32x = 7,917.84 × 1,991.32
  4. Step 4: Simplify right side
    5,278.32x = 15,766,953.15
  5. Step 5: Solve for x
    x = 15,766,953.15/5,278.32
  6. Step 6: Final answer
    x = 2,987.12

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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.