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Finding the Fourth Proportional to 3,881.07, 5,822.51 and 1,107.78

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Solution

The fourth proportional to 3,881.07, 5,822.51 and 1,107.78 is: 1,661.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.07 : 5,822.51 = 1,107.78 : x
  2. Step 2: Convert to fraction form
    3,881.07/5,822.51 = 1,107.78/x
  3. Step 3: Cross multiply
    3,881.07x = 5,822.51 × 1,107.78
  4. Step 4: Simplify right side
    3,881.07x = 6,450,060.13
  5. Step 5: Solve for x
    x = 6,450,060.13/3,881.07
  6. Step 6: Final answer
    x = 1,661.93

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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.