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Finding the Fourth Proportional to 3,820.80, 5,261 and 2,878

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Solution

The fourth proportional to 3,820.80, 5,261 and 2,878 is: 3,962.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,820.80 : 5,261 = 2,878 : x
  2. Step 2: Convert to fraction form
    3,820.80/5,261 = 2,878/x
  3. Step 3: Cross multiply
    3,820.80x = 5,261 × 2,878
  4. Step 4: Simplify right side
    3,820.80x = 15,141,158
  5. Step 5: Solve for x
    x = 15,141,158/3,820.80
  6. Step 6: Final answer
    x = 3,962.82

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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.