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Finding the Fourth Proportional to 2,947.08, 4,420 and 998.76

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Solution

The fourth proportional to 2,947.08, 4,420 and 998.76 is: 1,497.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947.08 : 4,420 = 998.76 : x
  2. Step 2: Convert to fraction form
    2,947.08/4,420 = 998.76/x
  3. Step 3: Cross multiply
    2,947.08x = 4,420 × 998.76
  4. Step 4: Simplify right side
    2,947.08x = 4,414,519.20
  5. Step 5: Solve for x
    x = 4,414,519.20/2,947.08
  6. Step 6: Final answer
    x = 1,497.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.