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Finding the Fourth Proportional to 1,721.81, 2,581.41 and 856.73

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Solution

The fourth proportional to 1,721.81, 2,581.41 and 856.73 is: 1,284.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,721.81 : 2,581.41 = 856.73 : x
  2. Step 2: Convert to fraction form
    1,721.81/2,581.41 = 856.73/x
  3. Step 3: Cross multiply
    1,721.81x = 2,581.41 × 856.73
  4. Step 4: Simplify right side
    1,721.81x = 2,211,571.39
  5. Step 5: Solve for x
    x = 2,211,571.39/1,721.81
  6. Step 6: Final answer
    x = 1,284.45

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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.