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Finding the Fourth Proportional to 5,071, 6,997.98 and 2,863

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Solution

The fourth proportional to 5,071, 6,997.98 and 2,863 is: 3,950.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,071 : 6,997.98 = 2,863 : x
  2. Step 2: Convert to fraction form
    5,071/6,997.98 = 2,863/x
  3. Step 3: Cross multiply
    5,071x = 6,997.98 × 2,863
  4. Step 4: Simplify right side
    5,071x = 20,035,216.74
  5. Step 5: Solve for x
    x = 20,035,216.74/5,071
  6. Step 6: Final answer
    x = 3,950.94

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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.