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Finding the Fourth Proportional to 5,309.89, 7,965.80 and 2,188.17

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Solution

The fourth proportional to 5,309.89, 7,965.80 and 2,188.17 is: 3,282.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.89 : 7,965.80 = 2,188.17 : x
  2. Step 2: Convert to fraction form
    5,309.89/7,965.80 = 2,188.17/x
  3. Step 3: Cross multiply
    5,309.89x = 7,965.80 × 2,188.17
  4. Step 4: Simplify right side
    5,309.89x = 17,430,524.59
  5. Step 5: Solve for x
    x = 17,430,524.59/5,309.89
  6. Step 6: Final answer
    x = 3,282.65

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1.5x scale

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.