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Finding the Fourth Proportional to 2,749.32, 4,123.71 and 801.54

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Solution

The fourth proportional to 2,749.32, 4,123.71 and 801.54 is: 1,202.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,749.32 : 4,123.71 = 801.54 : x
  2. Step 2: Convert to fraction form
    2,749.32/4,123.71 = 801.54/x
  3. Step 3: Cross multiply
    2,749.32x = 4,123.71 × 801.54
  4. Step 4: Simplify right side
    2,749.32x = 3,305,318.51
  5. Step 5: Solve for x
    x = 3,305,318.51/2,749.32
  6. Step 6: Final answer
    x = 1,202.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.