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Finding the Fourth Proportional to 5,289.06, 7,933.80 and 1,591.82

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Solution

The fourth proportional to 5,289.06, 7,933.80 and 1,591.82 is: 2,387.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,289.06 : 7,933.80 = 1,591.82 : x
  2. Step 2: Convert to fraction form
    5,289.06/7,933.80 = 1,591.82/x
  3. Step 3: Cross multiply
    5,289.06x = 7,933.80 × 1,591.82
  4. Step 4: Simplify right side
    5,289.06x = 12,629,168.61
  5. Step 5: Solve for x
    x = 12,629,168.61/5,289.06
  6. Step 6: Final answer
    x = 2,387.79

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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.