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Finding the Fourth Proportional to 1,912.19, 2,867.80 and 741.79

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Solution

The fourth proportional to 1,912.19, 2,867.80 and 741.79 is: 1,112.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,912.19 : 2,867.80 = 741.79 : x
  2. Step 2: Convert to fraction form
    1,912.19/2,867.80 = 741.79/x
  3. Step 3: Cross multiply
    1,912.19x = 2,867.80 × 741.79
  4. Step 4: Simplify right side
    1,912.19x = 2,127,305.36
  5. Step 5: Solve for x
    x = 2,127,305.36/1,912.19
  6. Step 6: Final answer
    x = 1,112.50

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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.