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Finding the Fourth Proportional to 21,992.32, 32,981.61 and 7,197.94

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Solution

The fourth proportional to 21,992.32, 32,981.61 and 7,197.94 is: 10,794.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,992.32 : 32,981.61 = 7,197.94 : x
  2. Step 2: Convert to fraction form
    21,992.32/32,981.61 = 7,197.94/x
  3. Step 3: Cross multiply
    21,992.32x = 32,981.61 × 7,197.94
  4. Step 4: Simplify right side
    21,992.32x = 237,399,649.88
  5. Step 5: Solve for x
    x = 237,399,649.88/21,992.32
  6. Step 6: Final answer
    x = 10,794.66

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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.