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Finding the Fourth Proportional to 17,475.20, 26,212.80 and 9,180.80

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Solution

The fourth proportional to 17,475.20, 26,212.80 and 9,180.80 is: 13,771.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,475.20 : 26,212.80 = 9,180.80 : x
  2. Step 2: Convert to fraction form
    17,475.20/26,212.80 = 9,180.80/x
  3. Step 3: Cross multiply
    17,475.20x = 26,212.80 × 9,180.80
  4. Step 4: Simplify right side
    17,475.20x = 240,654,474.24
  5. Step 5: Solve for x
    x = 240,654,474.24/17,475.20
  6. Step 6: Final answer
    x = 13,771.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.