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Finding the Fourth Proportional to 1,299.85, 1,940.52 and 1,254.29

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Solution

The fourth proportional to 1,299.85, 1,940.52 and 1,254.29 is: 1,872.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.85 : 1,940.52 = 1,254.29 : x
  2. Step 2: Convert to fraction form
    1,299.85/1,940.52 = 1,254.29/x
  3. Step 3: Cross multiply
    1,299.85x = 1,940.52 × 1,254.29
  4. Step 4: Simplify right side
    1,299.85x = 2,433,974.83
  5. Step 5: Solve for x
    x = 2,433,974.83/1,299.85
  6. Step 6: Final answer
    x = 1,872.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.