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Finding the Fourth Proportional to 5,158.96, 7,739.82 and 1,872.55

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Solution

The fourth proportional to 5,158.96, 7,739.82 and 1,872.55 is: 2,809.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,158.96 : 7,739.82 = 1,872.55 : x
  2. Step 2: Convert to fraction form
    5,158.96/7,739.82 = 1,872.55/x
  3. Step 3: Cross multiply
    5,158.96x = 7,739.82 × 1,872.55
  4. Step 4: Simplify right side
    5,158.96x = 14,493,209.62
  5. Step 5: Solve for x
    x = 14,493,209.62/5,158.96
  6. Step 6: Final answer
    x = 2,809.33

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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.