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Finding the Fourth Proportional to 1,407.11, 1,940.02 and 1,107.81

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Solution

The fourth proportional to 1,407.11, 1,940.02 and 1,107.81 is: 1,527.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.11 : 1,940.02 = 1,107.81 : x
  2. Step 2: Convert to fraction form
    1,407.11/1,940.02 = 1,107.81/x
  3. Step 3: Cross multiply
    1,407.11x = 1,940.02 × 1,107.81
  4. Step 4: Simplify right side
    1,407.11x = 2,149,170.79
  5. Step 5: Solve for x
    x = 2,149,170.79/1,407.11
  6. Step 6: Final answer
    x = 1,527.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.