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Finding the Fourth Proportional to 8,989.13, 13,478.06 and 2,747.07

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Solution

The fourth proportional to 8,989.13, 13,478.06 and 2,747.07 is: 4,118.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,989.13 : 13,478.06 = 2,747.07 : x
  2. Step 2: Convert to fraction form
    8,989.13/13,478.06 = 2,747.07/x
  3. Step 3: Cross multiply
    8,989.13x = 13,478.06 × 2,747.07
  4. Step 4: Simplify right side
    8,989.13x = 37,025,174.28
  5. Step 5: Solve for x
    x = 37,025,174.28/8,989.13
  6. Step 6: Final answer
    x = 4,118.88

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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.