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Finding the Fourth Proportional to 2,797.06, 3,856.80 and 2,209

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Solution

The fourth proportional to 2,797.06, 3,856.80 and 2,209 is: 3,045.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.06 : 3,856.80 = 2,209 : x
  2. Step 2: Convert to fraction form
    2,797.06/3,856.80 = 2,209/x
  3. Step 3: Cross multiply
    2,797.06x = 3,856.80 × 2,209
  4. Step 4: Simplify right side
    2,797.06x = 8,519,671.20
  5. Step 5: Solve for x
    x = 8,519,671.20/2,797.06
  6. Step 6: Final answer
    x = 3,045.94

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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.