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Finding the Fourth Proportional to 5,261.02, 7,260.10 and 2,871.02

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Solution

The fourth proportional to 5,261.02, 7,260.10 and 2,871.02 is: 3,961.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,261.02 : 7,260.10 = 2,871.02 : x
  2. Step 2: Convert to fraction form
    5,261.02/7,260.10 = 2,871.02/x
  3. Step 3: Cross multiply
    5,261.02x = 7,260.10 × 2,871.02
  4. Step 4: Simplify right side
    5,261.02x = 20,843,892.30
  5. Step 5: Solve for x
    x = 20,843,892.30/5,261.02
  6. Step 6: Final answer
    x = 3,961.95

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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.