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Finding the Fourth Proportional to 5,071, 6,997.20 and 2,832.60

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Solution

The fourth proportional to 5,071, 6,997.20 and 2,832.60 is: 3,908.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,071 : 6,997.20 = 2,832.60 : x
  2. Step 2: Convert to fraction form
    5,071/6,997.20 = 2,832.60/x
  3. Step 3: Cross multiply
    5,071x = 6,997.20 × 2,832.60
  4. Step 4: Simplify right side
    5,071x = 19,820,268.72
  5. Step 5: Solve for x
    x = 19,820,268.72/5,071
  6. Step 6: Final answer
    x = 3,908.55

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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.