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Finding the Fourth Proportional to 1,274.54, 1,918.52 and 1,086.62

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Solution

The fourth proportional to 1,274.54, 1,918.52 and 1,086.62 is: 1,635.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.54 : 1,918.52 = 1,086.62 : x
  2. Step 2: Convert to fraction form
    1,274.54/1,918.52 = 1,086.62/x
  3. Step 3: Cross multiply
    1,274.54x = 1,918.52 × 1,086.62
  4. Step 4: Simplify right side
    1,274.54x = 2,084,691.25
  5. Step 5: Solve for x
    x = 2,084,691.25/1,274.54
  6. Step 6: Final answer
    x = 1,635.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.