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Finding the Fourth Proportional to 3,989.25, 5,984.84 and 1,253.25

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Solution

The fourth proportional to 3,989.25, 5,984.84 and 1,253.25 is: 1,880.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,989.25 : 5,984.84 = 1,253.25 : x
  2. Step 2: Convert to fraction form
    3,989.25/5,984.84 = 1,253.25/x
  3. Step 3: Cross multiply
    3,989.25x = 5,984.84 × 1,253.25
  4. Step 4: Simplify right side
    3,989.25x = 7,500,500.73
  5. Step 5: Solve for x
    x = 7,500,500.73/3,989.25
  6. Step 6: Final answer
    x = 1,880.18

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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.