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Finding the Fourth Proportional to 2,512.30, 3,767.37 and 781.06

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Solution

The fourth proportional to 2,512.30, 3,767.37 and 781.06 is: 1,171.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512.30 : 3,767.37 = 781.06 : x
  2. Step 2: Convert to fraction form
    2,512.30/3,767.37 = 781.06/x
  3. Step 3: Cross multiply
    2,512.30x = 3,767.37 × 781.06
  4. Step 4: Simplify right side
    2,512.30x = 2,942,542.01
  5. Step 5: Solve for x
    x = 2,942,542.01/2,512.30
  6. Step 6: Final answer
    x = 1,171.25

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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.