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Finding the Fourth Proportional to 2,200.79, 3,037.13 and 1,206

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Solution

The fourth proportional to 2,200.79, 3,037.13 and 1,206 is: 1,664.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.79 : 3,037.13 = 1,206 : x
  2. Step 2: Convert to fraction form
    2,200.79/3,037.13 = 1,206/x
  3. Step 3: Cross multiply
    2,200.79x = 3,037.13 × 1,206
  4. Step 4: Simplify right side
    2,200.79x = 3,662,772.75
  5. Step 5: Solve for x
    x = 3,662,772.75/2,200.79
  6. Step 6: Final answer
    x = 1,664.30

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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.