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Finding the Fourth Proportional to 1,943.78, 2,911.02 and 1,064.97

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Solution

The fourth proportional to 1,943.78, 2,911.02 and 1,064.97 is: 1,594.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,943.78 : 2,911.02 = 1,064.97 : x
  2. Step 2: Convert to fraction form
    1,943.78/2,911.02 = 1,064.97/x
  3. Step 3: Cross multiply
    1,943.78x = 2,911.02 × 1,064.97
  4. Step 4: Simplify right side
    1,943.78x = 3,100,148.97
  5. Step 5: Solve for x
    x = 3,100,148.97/1,943.78
  6. Step 6: Final answer
    x = 1,594.91

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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.