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Finding the Fourth Proportional to 5,261.66, 7,261.13 and 2,871.80

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Solution

The fourth proportional to 5,261.66, 7,261.13 and 2,871.80 is: 3,963.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,261.66 : 7,261.13 = 2,871.80 : x
  2. Step 2: Convert to fraction form
    5,261.66/7,261.13 = 2,871.80/x
  3. Step 3: Cross multiply
    5,261.66x = 7,261.13 × 2,871.80
  4. Step 4: Simplify right side
    5,261.66x = 20,852,498.78
  5. Step 5: Solve for x
    x = 20,852,498.78/5,261.66
  6. Step 6: Final answer
    x = 3,963.10

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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.