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Finding the Fourth Proportional to 1,299.61, 1,940.15 and 1,254.04

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Solution

The fourth proportional to 1,299.61, 1,940.15 and 1,254.04 is: 1,872.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.61 : 1,940.15 = 1,254.04 : x
  2. Step 2: Convert to fraction form
    1,299.61/1,940.15 = 1,254.04/x
  3. Step 3: Cross multiply
    1,299.61x = 1,940.15 × 1,254.04
  4. Step 4: Simplify right side
    1,299.61x = 2,433,025.71
  5. Step 5: Solve for x
    x = 2,433,025.71/1,299.61
  6. Step 6: Final answer
    x = 1,872.12

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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.