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Finding the Fourth Proportional to 2,741.82, 4,112.66 and 867.84

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Solution

The fourth proportional to 2,741.82, 4,112.66 and 867.84 is: 1,301.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.82 : 4,112.66 = 867.84 : x
  2. Step 2: Convert to fraction form
    2,741.82/4,112.66 = 867.84/x
  3. Step 3: Cross multiply
    2,741.82x = 4,112.66 × 867.84
  4. Step 4: Simplify right side
    2,741.82x = 3,569,133.02
  5. Step 5: Solve for x
    x = 3,569,133.02/2,741.82
  6. Step 6: Final answer
    x = 1,301.74

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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.