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Finding the Fourth Proportional to 5,278.16, 7,917.60 and 1,768.03

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Solution

The fourth proportional to 5,278.16, 7,917.60 and 1,768.03 is: 2,652.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,278.16 : 7,917.60 = 1,768.03 : x
  2. Step 2: Convert to fraction form
    5,278.16/7,917.60 = 1,768.03/x
  3. Step 3: Cross multiply
    5,278.16x = 7,917.60 × 1,768.03
  4. Step 4: Simplify right side
    5,278.16x = 13,998,505.90
  5. Step 5: Solve for x
    x = 13,998,505.90/5,278.16
  6. Step 6: Final answer
    x = 2,652.16

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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.