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Finding the Fourth Proportional to 4,850.92, 6,697.38 and 2,989

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Solution

The fourth proportional to 4,850.92, 6,697.38 and 2,989 is: 4,126.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,850.92 : 6,697.38 = 2,989 : x
  2. Step 2: Convert to fraction form
    4,850.92/6,697.38 = 2,989/x
  3. Step 3: Cross multiply
    4,850.92x = 6,697.38 × 2,989
  4. Step 4: Simplify right side
    4,850.92x = 20,018,468.82
  5. Step 5: Solve for x
    x = 20,018,468.82/4,850.92
  6. Step 6: Final answer
    x = 4,126.74

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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.