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Finding the Fourth Proportional to 8,800, 13,193.12 and 4,634.56

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Solution

The fourth proportional to 8,800, 13,193.12 and 4,634.56 is: 6,948.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,800 : 13,193.12 = 4,634.56 : x
  2. Step 2: Convert to fraction form
    8,800/13,193.12 = 4,634.56/x
  3. Step 3: Cross multiply
    8,800x = 13,193.12 × 4,634.56
  4. Step 4: Simplify right side
    8,800x = 61,144,306.23
  5. Step 5: Solve for x
    x = 61,144,306.23/8,800
  6. Step 6: Final answer
    x = 6,948.22

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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.