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Finding the Fourth Proportional to 3,113.97, 4,670.81 and 773.91

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Solution

The fourth proportional to 3,113.97, 4,670.81 and 773.91 is: 1,160.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,113.97 : 4,670.81 = 773.91 : x
  2. Step 2: Convert to fraction form
    3,113.97/4,670.81 = 773.91/x
  3. Step 3: Cross multiply
    3,113.97x = 4,670.81 × 773.91
  4. Step 4: Simplify right side
    3,113.97x = 3,614,786.57
  5. Step 5: Solve for x
    x = 3,614,786.57/3,113.97
  6. Step 6: Final answer
    x = 1,160.83

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1.5x scale

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.