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Finding the Fourth Proportional to 5,338.64, 8,008.92 and 2,739.44

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Solution

The fourth proportional to 5,338.64, 8,008.92 and 2,739.44 is: 4,109.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,338.64 : 8,008.92 = 2,739.44 : x
  2. Step 2: Convert to fraction form
    5,338.64/8,008.92 = 2,739.44/x
  3. Step 3: Cross multiply
    5,338.64x = 8,008.92 × 2,739.44
  4. Step 4: Simplify right side
    5,338.64x = 21,939,955.80
  5. Step 5: Solve for x
    x = 21,939,955.80/5,338.64
  6. Step 6: Final answer
    x = 4,109.65

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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.