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Finding the Fourth Proportional to 1,282.26, 1,767.88 and 1,019.82

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Solution

The fourth proportional to 1,282.26, 1,767.88 and 1,019.82 is: 1,406.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.26 : 1,767.88 = 1,019.82 : x
  2. Step 2: Convert to fraction form
    1,282.26/1,767.88 = 1,019.82/x
  3. Step 3: Cross multiply
    1,282.26x = 1,767.88 × 1,019.82
  4. Step 4: Simplify right side
    1,282.26x = 1,802,919.38
  5. Step 5: Solve for x
    x = 1,802,919.38/1,282.26
  6. Step 6: Final answer
    x = 1,406.05

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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.