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Finding the Fourth Proportional to 5,427, 7,489.26 and 3,188.84

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Solution

The fourth proportional to 5,427, 7,489.26 and 3,188.84 is: 4,400.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,427 : 7,489.26 = 3,188.84 : x
  2. Step 2: Convert to fraction form
    5,427/7,489.26 = 3,188.84/x
  3. Step 3: Cross multiply
    5,427x = 7,489.26 × 3,188.84
  4. Step 4: Simplify right side
    5,427x = 23,882,014.41
  5. Step 5: Solve for x
    x = 23,882,014.41/5,427
  6. Step 6: Final answer
    x = 4,400.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.