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Finding the Fourth Proportional to 21,806.80, 32,709.98 and 9,316.20

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Solution

The fourth proportional to 21,806.80, 32,709.98 and 9,316.20 is: 13,974.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,806.80 : 32,709.98 = 9,316.20 : x
  2. Step 2: Convert to fraction form
    21,806.80/32,709.98 = 9,316.20/x
  3. Step 3: Cross multiply
    21,806.80x = 32,709.98 × 9,316.20
  4. Step 4: Simplify right side
    21,806.80x = 304,732,715.68
  5. Step 5: Solve for x
    x = 304,732,715.68/21,806.80
  6. Step 6: Final answer
    x = 13,974.21

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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.