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Finding the Fourth Proportional to 21,995.28, 32,984.80 and 9,517.12

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Solution

The fourth proportional to 21,995.28, 32,984.80 and 9,517.12 is: 14,272.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,995.28 : 32,984.80 = 9,517.12 : x
  2. Step 2: Convert to fraction form
    21,995.28/32,984.80 = 9,517.12/x
  3. Step 3: Cross multiply
    21,995.28x = 32,984.80 × 9,517.12
  4. Step 4: Simplify right side
    21,995.28x = 313,920,299.78
  5. Step 5: Solve for x
    x = 313,920,299.78/21,995.28
  6. Step 6: Final answer
    x = 14,272.17

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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.