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Finding the Fourth Proportional to 2,801.79, 4,202.42 and 853.88

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Solution

The fourth proportional to 2,801.79, 4,202.42 and 853.88 is: 1,280.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.79 : 4,202.42 = 853.88 : x
  2. Step 2: Convert to fraction form
    2,801.79/4,202.42 = 853.88/x
  3. Step 3: Cross multiply
    2,801.79x = 4,202.42 × 853.88
  4. Step 4: Simplify right side
    2,801.79x = 3,588,337.11
  5. Step 5: Solve for x
    x = 3,588,337.11/2,801.79
  6. Step 6: Final answer
    x = 1,280.73

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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.