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Finding the Fourth Proportional to 5,687.96, 7,848.90 and 3,169.87

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Solution

The fourth proportional to 5,687.96, 7,848.90 and 3,169.87 is: 4,374.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687.96 : 7,848.90 = 3,169.87 : x
  2. Step 2: Convert to fraction form
    5,687.96/7,848.90 = 3,169.87/x
  3. Step 3: Cross multiply
    5,687.96x = 7,848.90 × 3,169.87
  4. Step 4: Simplify right side
    5,687.96x = 24,879,973.02
  5. Step 5: Solve for x
    x = 24,879,973.02/5,687.96
  6. Step 6: Final answer
    x = 4,374.15

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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.