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Finding the Fourth Proportional to 3,107.81, 4,661.60 and 767.79

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Solution

The fourth proportional to 3,107.81, 4,661.60 and 767.79 is: 1,151.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.81 : 4,661.60 = 767.79 : x
  2. Step 2: Convert to fraction form
    3,107.81/4,661.60 = 767.79/x
  3. Step 3: Cross multiply
    3,107.81x = 4,661.60 × 767.79
  4. Step 4: Simplify right side
    3,107.81x = 3,579,126.03
  5. Step 5: Solve for x
    x = 3,579,126.03/3,107.81
  6. Step 6: Final answer
    x = 1,151.66

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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.