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Finding the Fourth Proportional to 5,327.76, 7,982.40 and 4,786.68

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Solution

The fourth proportional to 5,327.76, 7,982.40 and 4,786.68 is: 7,171.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,327.76 : 7,982.40 = 4,786.68 : x
  2. Step 2: Convert to fraction form
    5,327.76/7,982.40 = 4,786.68/x
  3. Step 3: Cross multiply
    5,327.76x = 7,982.40 × 4,786.68
  4. Step 4: Simplify right side
    5,327.76x = 38,209,194.43
  5. Step 5: Solve for x
    x = 38,209,194.43/5,327.76
  6. Step 6: Final answer
    x = 7,171.72

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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.