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Finding the Fourth Proportional to 5,679.48, 7,836.82 and 3,256.50

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Solution

The fourth proportional to 5,679.48, 7,836.82 and 3,256.50 is: 4,493.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,679.48 : 7,836.82 = 3,256.50 : x
  2. Step 2: Convert to fraction form
    5,679.48/7,836.82 = 3,256.50/x
  3. Step 3: Cross multiply
    5,679.48x = 7,836.82 × 3,256.50
  4. Step 4: Simplify right side
    5,679.48x = 25,520,588.05
  5. Step 5: Solve for x
    x = 25,520,588.05/5,679.48
  6. Step 6: Final answer
    x = 4,493.47

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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.