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Finding the Fourth Proportional to 1,274.86, 1,910.46 and 981.22

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Solution

The fourth proportional to 1,274.86, 1,910.46 and 981.22 is: 1,470.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.86 : 1,910.46 = 981.22 : x
  2. Step 2: Convert to fraction form
    1,274.86/1,910.46 = 981.22/x
  3. Step 3: Cross multiply
    1,274.86x = 1,910.46 × 981.22
  4. Step 4: Simplify right side
    1,274.86x = 1,874,581.56
  5. Step 5: Solve for x
    x = 1,874,581.56/1,274.86
  6. Step 6: Final answer
    x = 1,470.42

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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.