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Finding the Fourth Proportional to 21,806.74, 32,719.83 and 7,952.50

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Solution

The fourth proportional to 21,806.74, 32,719.83 and 7,952.50 is: 11,932.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,806.74 : 32,719.83 = 7,952.50 : x
  2. Step 2: Convert to fraction form
    21,806.74/32,719.83 = 7,952.50/x
  3. Step 3: Cross multiply
    21,806.74x = 32,719.83 × 7,952.50
  4. Step 4: Simplify right side
    21,806.74x = 260,204,448.08
  5. Step 5: Solve for x
    x = 260,204,448.08/21,806.74
  6. Step 6: Final answer
    x = 11,932.29

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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.