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Finding the Fourth Proportional to 1,269.95, 1,906.74 and 1,249.29

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Solution

The fourth proportional to 1,269.95, 1,906.74 and 1,249.29 is: 1,875.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.95 : 1,906.74 = 1,249.29 : x
  2. Step 2: Convert to fraction form
    1,269.95/1,906.74 = 1,249.29/x
  3. Step 3: Cross multiply
    1,269.95x = 1,906.74 × 1,249.29
  4. Step 4: Simplify right side
    1,269.95x = 2,382,071.21
  5. Step 5: Solve for x
    x = 2,382,071.21/1,269.95
  6. Step 6: Final answer
    x = 1,875.72

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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.