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Finding the Fourth Proportional to 8,044.32, 12,066.49 and 2,200.98

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Solution

The fourth proportional to 8,044.32, 12,066.49 and 2,200.98 is: 3,301.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,044.32 : 12,066.49 = 2,200.98 : x
  2. Step 2: Convert to fraction form
    8,044.32/12,066.49 = 2,200.98/x
  3. Step 3: Cross multiply
    8,044.32x = 12,066.49 × 2,200.98
  4. Step 4: Simplify right side
    8,044.32x = 26,558,103.16
  5. Step 5: Solve for x
    x = 26,558,103.16/8,044.32
  6. Step 6: Final answer
    x = 3,301.47

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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.