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Finding the Fourth Proportional to 5,474, 8,213.88 and 2,699.84

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Solution

The fourth proportional to 5,474, 8,213.88 and 2,699.84 is: 4,051.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,474 : 8,213.88 = 2,699.84 : x
  2. Step 2: Convert to fraction form
    5,474/8,213.88 = 2,699.84/x
  3. Step 3: Cross multiply
    5,474x = 8,213.88 × 2,699.84
  4. Step 4: Simplify right side
    5,474x = 22,176,161.78
  5. Step 5: Solve for x
    x = 22,176,161.78/5,474
  6. Step 6: Final answer
    x = 4,051.18

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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.