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Finding the Fourth Proportional to 8,984.25, 13,476.06 and 2,744.01

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Solution

The fourth proportional to 8,984.25, 13,476.06 and 2,744.01 is: 4,115.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,984.25 : 13,476.06 = 2,744.01 : x
  2. Step 2: Convert to fraction form
    8,984.25/13,476.06 = 2,744.01/x
  3. Step 3: Cross multiply
    8,984.25x = 13,476.06 × 2,744.01
  4. Step 4: Simplify right side
    8,984.25x = 36,978,443.40
  5. Step 5: Solve for x
    x = 36,978,443.40/8,984.25
  6. Step 6: Final answer
    x = 4,115.92

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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.