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Finding the Fourth Proportional to 5,687.10, 7,848.32 and 3,169.44

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Solution

The fourth proportional to 5,687.10, 7,848.32 and 3,169.44 is: 4,373.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687.10 : 7,848.32 = 3,169.44 : x
  2. Step 2: Convert to fraction form
    5,687.10/7,848.32 = 3,169.44/x
  3. Step 3: Cross multiply
    5,687.10x = 7,848.32 × 3,169.44
  4. Step 4: Simplify right side
    5,687.10x = 24,874,763.49
  5. Step 5: Solve for x
    x = 24,874,763.49/5,687.10
  6. Step 6: Final answer
    x = 4,373.89

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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.