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Finding the Fourth Proportional to 1,781.41, 2,671.36 and 856.75

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Solution

The fourth proportional to 1,781.41, 2,671.36 and 856.75 is: 1,284.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.41 : 2,671.36 = 856.75 : x
  2. Step 2: Convert to fraction form
    1,781.41/2,671.36 = 856.75/x
  3. Step 3: Cross multiply
    1,781.41x = 2,671.36 × 856.75
  4. Step 4: Simplify right side
    1,781.41x = 2,288,687.68
  5. Step 5: Solve for x
    x = 2,288,687.68/1,781.41
  6. Step 6: Final answer
    x = 1,284.76

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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.