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Finding the Fourth Proportional to 2,201, 3,037.23 and 1,206.29

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Solution

The fourth proportional to 2,201, 3,037.23 and 1,206.29 is: 1,664.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201 : 3,037.23 = 1,206.29 : x
  2. Step 2: Convert to fraction form
    2,201/3,037.23 = 1,206.29/x
  3. Step 3: Cross multiply
    2,201x = 3,037.23 × 1,206.29
  4. Step 4: Simplify right side
    2,201x = 3,663,780.18
  5. Step 5: Solve for x
    x = 3,663,780.18/2,201
  6. Step 6: Final answer
    x = 1,664.60

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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.