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Finding the Fourth Proportional to 3,989.71, 5,984.73 and 1,524.71

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Solution

The fourth proportional to 3,989.71, 5,984.73 and 1,524.71 is: 2,287.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,989.71 : 5,984.73 = 1,524.71 : x
  2. Step 2: Convert to fraction form
    3,989.71/5,984.73 = 1,524.71/x
  3. Step 3: Cross multiply
    3,989.71x = 5,984.73 × 1,524.71
  4. Step 4: Simplify right side
    3,989.71x = 9,124,977.68
  5. Step 5: Solve for x
    x = 9,124,977.68/3,989.71
  6. Step 6: Final answer
    x = 2,287.13

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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.