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Finding the Fourth Proportional to 2,200.82, 3,037.10 and 1,256.76

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Solution

The fourth proportional to 2,200.82, 3,037.10 and 1,256.76 is: 1,734.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.82 : 3,037.10 = 1,256.76 : x
  2. Step 2: Convert to fraction form
    2,200.82/3,037.10 = 1,256.76/x
  3. Step 3: Cross multiply
    2,200.82x = 3,037.10 × 1,256.76
  4. Step 4: Simplify right side
    2,200.82x = 3,816,899.51
  5. Step 5: Solve for x
    x = 3,816,899.51/2,200.82
  6. Step 6: Final answer
    x = 1,734.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.