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Finding the Fourth Proportional to 2,801.94, 4,202.44 and 800.49

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Solution

The fourth proportional to 2,801.94, 4,202.44 and 800.49 is: 1,200.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.94 : 4,202.44 = 800.49 : x
  2. Step 2: Convert to fraction form
    2,801.94/4,202.44 = 800.49/x
  3. Step 3: Cross multiply
    2,801.94x = 4,202.44 × 800.49
  4. Step 4: Simplify right side
    2,801.94x = 3,364,009.19
  5. Step 5: Solve for x
    x = 3,364,009.19/2,801.94
  6. Step 6: Final answer
    x = 1,200.60

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Why These Related Problems?

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