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Finding the Fourth Proportional to 1,811.92, 2,716.68 and 946.84

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Solution

The fourth proportional to 1,811.92, 2,716.68 and 946.84 is: 1,419.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,811.92 : 2,716.68 = 946.84 : x
  2. Step 2: Convert to fraction form
    1,811.92/2,716.68 = 946.84/x
  3. Step 3: Cross multiply
    1,811.92x = 2,716.68 × 946.84
  4. Step 4: Simplify right side
    1,811.92x = 2,572,261.29
  5. Step 5: Solve for x
    x = 2,572,261.29/1,811.92
  6. Step 6: Final answer
    x = 1,419.63

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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.