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Finding the Fourth Proportional to 17,740.72, 24,481.80 and 9,782.80

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Solution

The fourth proportional to 17,740.72, 24,481.80 and 9,782.80 is: 13,500.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,740.72 : 24,481.80 = 9,782.80 : x
  2. Step 2: Convert to fraction form
    17,740.72/24,481.80 = 9,782.80/x
  3. Step 3: Cross multiply
    17,740.72x = 24,481.80 × 9,782.80
  4. Step 4: Simplify right side
    17,740.72x = 239,500,553.04
  5. Step 5: Solve for x
    x = 239,500,553.04/17,740.72
  6. Step 6: Final answer
    x = 13,500.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.