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Finding the Fourth Proportional to 9,102.91, 13,648.33 and 3,556.78

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Solution

The fourth proportional to 9,102.91, 13,648.33 and 3,556.78 is: 5,332.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102.91 : 13,648.33 = 3,556.78 : x
  2. Step 2: Convert to fraction form
    9,102.91/13,648.33 = 3,556.78/x
  3. Step 3: Cross multiply
    9,102.91x = 13,648.33 × 3,556.78
  4. Step 4: Simplify right side
    9,102.91x = 48,544,107.18
  5. Step 5: Solve for x
    x = 48,544,107.18/9,102.91
  6. Step 6: Final answer
    x = 5,332.81

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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.