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Finding the Fourth Proportional to 5,309.88, 7,965.78 and 2,188.15

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Solution

The fourth proportional to 5,309.88, 7,965.78 and 2,188.15 is: 3,282.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.88 : 7,965.78 = 2,188.15 : x
  2. Step 2: Convert to fraction form
    5,309.88/7,965.78 = 2,188.15/x
  3. Step 3: Cross multiply
    5,309.88x = 7,965.78 × 2,188.15
  4. Step 4: Simplify right side
    5,309.88x = 17,430,270.74
  5. Step 5: Solve for x
    x = 17,430,270.74/5,309.88
  6. Step 6: Final answer
    x = 3,282.61

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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.