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Finding the Fourth Proportional to 3,121.49, 4,682.25 and 781.53

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Solution

The fourth proportional to 3,121.49, 4,682.25 and 781.53 is: 1,172.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,121.49 : 4,682.25 = 781.53 : x
  2. Step 2: Convert to fraction form
    3,121.49/4,682.25 = 781.53/x
  3. Step 3: Cross multiply
    3,121.49x = 4,682.25 × 781.53
  4. Step 4: Simplify right side
    3,121.49x = 3,659,318.84
  5. Step 5: Solve for x
    x = 3,659,318.84/3,121.49
  6. Step 6: Final answer
    x = 1,172.30

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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.