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Finding the Fourth Proportional to 2,761.78, 3,813.33 and 1,701.01

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Solution

The fourth proportional to 2,761.78, 3,813.33 and 1,701.01 is: 2,348.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.78 : 3,813.33 = 1,701.01 : x
  2. Step 2: Convert to fraction form
    2,761.78/3,813.33 = 1,701.01/x
  3. Step 3: Cross multiply
    2,761.78x = 3,813.33 × 1,701.01
  4. Step 4: Simplify right side
    2,761.78x = 6,486,484.89
  5. Step 5: Solve for x
    x = 6,486,484.89/2,761.78
  6. Step 6: Final answer
    x = 2,348.66

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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.