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Finding the Fourth Proportional to 5,478.78, 8,218.97 and 2,881.90

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Solution

The fourth proportional to 5,478.78, 8,218.97 and 2,881.90 is: 4,323.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,478.78 : 8,218.97 = 2,881.90 : x
  2. Step 2: Convert to fraction form
    5,478.78/8,218.97 = 2,881.90/x
  3. Step 3: Cross multiply
    5,478.78x = 8,218.97 × 2,881.90
  4. Step 4: Simplify right side
    5,478.78x = 23,686,249.64
  5. Step 5: Solve for x
    x = 23,686,249.64/5,478.78
  6. Step 6: Final answer
    x = 4,323.27

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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.