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Finding the Fourth Proportional to 21,988.80, 32,976.80 and 7,947.20

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Solution

The fourth proportional to 21,988.80, 32,976.80 and 7,947.20 is: 11,918.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,988.80 : 32,976.80 = 7,947.20 : x
  2. Step 2: Convert to fraction form
    21,988.80/32,976.80 = 7,947.20/x
  3. Step 3: Cross multiply
    21,988.80x = 32,976.80 × 7,947.20
  4. Step 4: Simplify right side
    21,988.80x = 262,073,224.96
  5. Step 5: Solve for x
    x = 262,073,224.96/21,988.80
  6. Step 6: Final answer
    x = 11,918.49

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1.5x scale

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.