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Finding the Fourth Proportional to 5,006, 6,908.28 and 2,798

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Solution

The fourth proportional to 5,006, 6,908.28 and 2,798 is: 3,861.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,006 : 6,908.28 = 2,798 : x
  2. Step 2: Convert to fraction form
    5,006/6,908.28 = 2,798/x
  3. Step 3: Cross multiply
    5,006x = 6,908.28 × 2,798
  4. Step 4: Simplify right side
    5,006x = 19,329,367.44
  5. Step 5: Solve for x
    x = 19,329,367.44/5,006
  6. Step 6: Final answer
    x = 3,861.24

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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.