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Finding the Fourth Proportional to 1,350.82, 2,023.07 and 1,040.21

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Solution

The fourth proportional to 1,350.82, 2,023.07 and 1,040.21 is: 1,557.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350.82 : 2,023.07 = 1,040.21 : x
  2. Step 2: Convert to fraction form
    1,350.82/2,023.07 = 1,040.21/x
  3. Step 3: Cross multiply
    1,350.82x = 2,023.07 × 1,040.21
  4. Step 4: Simplify right side
    1,350.82x = 2,104,417.64
  5. Step 5: Solve for x
    x = 2,104,417.64/1,350.82
  6. Step 6: Final answer
    x = 1,557.88

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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.