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Finding the Fourth Proportional to 11,198.40, 16,781.04 and 9,968.16

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Solution

The fourth proportional to 11,198.40, 16,781.04 and 9,968.16 is: 14,937.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,198.40 : 16,781.04 = 9,968.16 : x
  2. Step 2: Convert to fraction form
    11,198.40/16,781.04 = 9,968.16/x
  3. Step 3: Cross multiply
    11,198.40x = 16,781.04 × 9,968.16
  4. Step 4: Simplify right side
    11,198.40x = 167,276,091.69
  5. Step 5: Solve for x
    x = 167,276,091.69/11,198.40
  6. Step 6: Final answer
    x = 14,937.50

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1.5x scale

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.