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Finding the Fourth Proportional to 21,806.01, 32,711.04 and 7,011.43

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Solution

The fourth proportional to 21,806.01, 32,711.04 and 7,011.43 is: 10,517.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,806.01 : 32,711.04 = 7,011.43 : x
  2. Step 2: Convert to fraction form
    21,806.01/32,711.04 = 7,011.43/x
  3. Step 3: Cross multiply
    21,806.01x = 32,711.04 × 7,011.43
  4. Step 4: Simplify right side
    21,806.01x = 229,351,085.41
  5. Step 5: Solve for x
    x = 229,351,085.41/21,806.01
  6. Step 6: Final answer
    x = 10,517.79

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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.