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Finding the Fourth Proportional to 21,988.62, 32,976 and 7,195.14

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Solution

The fourth proportional to 21,988.62, 32,976 and 7,195.14 is: 10,790.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,988.62 : 32,976 = 7,195.14 : x
  2. Step 2: Convert to fraction form
    21,988.62/32,976 = 7,195.14/x
  3. Step 3: Cross multiply
    21,988.62x = 32,976 × 7,195.14
  4. Step 4: Simplify right side
    21,988.62x = 237,266,936.64
  5. Step 5: Solve for x
    x = 237,266,936.64/21,988.62
  6. Step 6: Final answer
    x = 10,790.44

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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.