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Finding the Fourth Proportional to 1,278.41, 1,911.60 and 912.06

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Solution

The fourth proportional to 1,278.41, 1,911.60 and 912.06 is: 1,363.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.41 : 1,911.60 = 912.06 : x
  2. Step 2: Convert to fraction form
    1,278.41/1,911.60 = 912.06/x
  3. Step 3: Cross multiply
    1,278.41x = 1,911.60 × 912.06
  4. Step 4: Simplify right side
    1,278.41x = 1,743,493.90
  5. Step 5: Solve for x
    x = 1,743,493.90/1,278.41
  6. Step 6: Final answer
    x = 1,363.80

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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.