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Finding the Fourth Proportional to 21,934.22, 32,908.61 and 7,143.62

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Solution

The fourth proportional to 21,934.22, 32,908.61 and 7,143.62 is: 10,717.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,934.22 : 32,908.61 = 7,143.62 : x
  2. Step 2: Convert to fraction form
    21,934.22/32,908.61 = 7,143.62/x
  3. Step 3: Cross multiply
    21,934.22x = 32,908.61 × 7,143.62
  4. Step 4: Simplify right side
    21,934.22x = 235,086,457.88
  5. Step 5: Solve for x
    x = 235,086,457.88/21,934.22
  6. Step 6: Final answer
    x = 10,717.80

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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.