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Finding the Fourth Proportional to 5,482.80, 8,218.80 and 2,709.90

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Solution

The fourth proportional to 5,482.80, 8,218.80 and 2,709.90 is: 4,062.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,482.80 : 8,218.80 = 2,709.90 : x
  2. Step 2: Convert to fraction form
    5,482.80/8,218.80 = 2,709.90/x
  3. Step 3: Cross multiply
    5,482.80x = 8,218.80 × 2,709.90
  4. Step 4: Simplify right side
    5,482.80x = 22,272,126.12
  5. Step 5: Solve for x
    x = 22,272,126.12/5,482.80
  6. Step 6: Final answer
    x = 4,062.18

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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.