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Finding the Fourth Proportional to 2,801.80, 4,202.52 and 854.02

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Solution

The fourth proportional to 2,801.80, 4,202.52 and 854.02 is: 1,280.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.80 : 4,202.52 = 854.02 : x
  2. Step 2: Convert to fraction form
    2,801.80/4,202.52 = 854.02/x
  3. Step 3: Cross multiply
    2,801.80x = 4,202.52 × 854.02
  4. Step 4: Simplify right side
    2,801.80x = 3,589,036.13
  5. Step 5: Solve for x
    x = 3,589,036.13/2,801.80
  6. Step 6: Final answer
    x = 1,280.98

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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.