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Finding the Fourth Proportional to 8,991.22, 13,488 and 3,149.50

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Solution

The fourth proportional to 8,991.22, 13,488 and 3,149.50 is: 4,724.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,991.22 : 13,488 = 3,149.50 : x
  2. Step 2: Convert to fraction form
    8,991.22/13,488 = 3,149.50/x
  3. Step 3: Cross multiply
    8,991.22x = 13,488 × 3,149.50
  4. Step 4: Simplify right side
    8,991.22x = 42,480,456
  5. Step 5: Solve for x
    x = 42,480,456/8,991.22
  6. Step 6: Final answer
    x = 4,724.66

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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.