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Finding the Fourth Proportional to 3,989.00, 5,984.17 and 1,215.47

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Solution

The fourth proportional to 3,989.00, 5,984.17 and 1,215.47 is: 1,823.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,989.00 : 5,984.17 = 1,215.47 : x
  2. Step 2: Convert to fraction form
    3,989.00/5,984.17 = 1,215.47/x
  3. Step 3: Cross multiply
    3,989.00x = 5,984.17 × 1,215.47
  4. Step 4: Simplify right side
    3,989.00x = 7,273,591.03
  5. Step 5: Solve for x
    x = 7,273,591.03/3,989.00
  6. Step 6: Final answer
    x = 1,823.41

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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.