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Finding the Fourth Proportional to 17,220.80, 25,806.56 and 9,809.96

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Solution

The fourth proportional to 17,220.80, 25,806.56 and 9,809.96 is: 14,700.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,220.80 : 25,806.56 = 9,809.96 : x
  2. Step 2: Convert to fraction form
    17,220.80/25,806.56 = 9,809.96/x
  3. Step 3: Cross multiply
    17,220.80x = 25,806.56 × 9,809.96
  4. Step 4: Simplify right side
    17,220.80x = 253,161,321.34
  5. Step 5: Solve for x
    x = 253,161,321.34/17,220.80
  6. Step 6: Final answer
    x = 14,700.90

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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.