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Finding the Fourth Proportional to 5,687.64, 7,849.32 and 3,169.72

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Solution

The fourth proportional to 5,687.64, 7,849.32 and 3,169.72 is: 4,374.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687.64 : 7,849.32 = 3,169.72 : x
  2. Step 2: Convert to fraction form
    5,687.64/7,849.32 = 3,169.72/x
  3. Step 3: Cross multiply
    5,687.64x = 7,849.32 × 3,169.72
  4. Step 4: Simplify right side
    5,687.64x = 24,880,146.59
  5. Step 5: Solve for x
    x = 24,880,146.59/5,687.64
  6. Step 6: Final answer
    x = 4,374.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.