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Finding the Fourth Proportional to 2,200.81, 3,037.12 and 1,206.07

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Solution

The fourth proportional to 2,200.81, 3,037.12 and 1,206.07 is: 1,664.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.81 : 3,037.12 = 1,206.07 : x
  2. Step 2: Convert to fraction form
    2,200.81/3,037.12 = 1,206.07/x
  3. Step 3: Cross multiply
    2,200.81x = 3,037.12 × 1,206.07
  4. Step 4: Simplify right side
    2,200.81x = 3,662,979.32
  5. Step 5: Solve for x
    x = 3,662,979.32/2,200.81
  6. Step 6: Final answer
    x = 1,664.38

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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.