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Finding the Fourth Proportional to 5,159.88, 7,739.80 and 2,081.88

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Solution

The fourth proportional to 5,159.88, 7,739.80 and 2,081.88 is: 3,122.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,159.88 : 7,739.80 = 2,081.88 : x
  2. Step 2: Convert to fraction form
    5,159.88/7,739.80 = 2,081.88/x
  3. Step 3: Cross multiply
    5,159.88x = 7,739.80 × 2,081.88
  4. Step 4: Simplify right side
    5,159.88x = 16,113,334.82
  5. Step 5: Solve for x
    x = 16,113,334.82/5,159.88
  6. Step 6: Final answer
    x = 3,122.81

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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.