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Finding the Fourth Proportional to 9,998.24, 13,769.50 and 9,780.24

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Solution

The fourth proportional to 9,998.24, 13,769.50 and 9,780.24 is: 13,469.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,998.24 : 13,769.50 = 9,780.24 : x
  2. Step 2: Convert to fraction form
    9,998.24/13,769.50 = 9,780.24/x
  3. Step 3: Cross multiply
    9,998.24x = 13,769.50 × 9,780.24
  4. Step 4: Simplify right side
    9,998.24x = 134,669,014.68
  5. Step 5: Solve for x
    x = 134,669,014.68/9,998.24
  6. Step 6: Final answer
    x = 13,469.27

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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.