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Finding the Fourth Proportional to 2,851.78, 3,932.98 and 2,011

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Solution

The fourth proportional to 2,851.78, 3,932.98 and 2,011 is: 2,773.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,851.78 : 3,932.98 = 2,011 : x
  2. Step 2: Convert to fraction form
    2,851.78/3,932.98 = 2,011/x
  3. Step 3: Cross multiply
    2,851.78x = 3,932.98 × 2,011
  4. Step 4: Simplify right side
    2,851.78x = 7,909,222.78
  5. Step 5: Solve for x
    x = 7,909,222.78/2,851.78
  6. Step 6: Final answer
    x = 2,773.43

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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.