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Finding the Fourth Proportional to 2,761.48, 3,810.21 and 2,015.84

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Solution

The fourth proportional to 2,761.48, 3,810.21 and 2,015.84 is: 2,781.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.48 : 3,810.21 = 2,015.84 : x
  2. Step 2: Convert to fraction form
    2,761.48/3,810.21 = 2,015.84/x
  3. Step 3: Cross multiply
    2,761.48x = 3,810.21 × 2,015.84
  4. Step 4: Simplify right side
    2,761.48x = 7,680,773.73
  5. Step 5: Solve for x
    x = 7,680,773.73/2,761.48
  6. Step 6: Final answer
    x = 2,781.40

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1.5x scale

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.