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Finding the Fourth Proportional to 1,299.24, 1,791 and 1,121.40

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Solution

The fourth proportional to 1,299.24, 1,791 and 1,121.40 is: 1,545.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.24 : 1,791 = 1,121.40 : x
  2. Step 2: Convert to fraction form
    1,299.24/1,791 = 1,121.40/x
  3. Step 3: Cross multiply
    1,299.24x = 1,791 × 1,121.40
  4. Step 4: Simplify right side
    1,299.24x = 2,008,427.40
  5. Step 5: Solve for x
    x = 2,008,427.40/1,299.24
  6. Step 6: Final answer
    x = 1,545.85

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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.