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Finding the Fourth Proportional to 5,227.76, 7,214.52 and 2,990

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Solution

The fourth proportional to 5,227.76, 7,214.52 and 2,990 is: 4,126.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,227.76 : 7,214.52 = 2,990 : x
  2. Step 2: Convert to fraction form
    5,227.76/7,214.52 = 2,990/x
  3. Step 3: Cross multiply
    5,227.76x = 7,214.52 × 2,990
  4. Step 4: Simplify right side
    5,227.76x = 21,571,414.80
  5. Step 5: Solve for x
    x = 21,571,414.80/5,227.76
  6. Step 6: Final answer
    x = 4,126.32

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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.