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Finding the Fourth Proportional to 3,989.61, 5,986.89 and 1,524.68

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Solution

The fourth proportional to 3,989.61, 5,986.89 and 1,524.68 is: 2,287.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,989.61 : 5,986.89 = 1,524.68 : x
  2. Step 2: Convert to fraction form
    3,989.61/5,986.89 = 1,524.68/x
  3. Step 3: Cross multiply
    3,989.61x = 5,986.89 × 1,524.68
  4. Step 4: Simplify right side
    3,989.61x = 9,128,091.45
  5. Step 5: Solve for x
    x = 9,128,091.45/3,989.61
  6. Step 6: Final answer
    x = 2,287.97

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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.