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Finding the Fourth Proportional to 2,801.54, 4,202.93 and 853.90

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Solution

The fourth proportional to 2,801.54, 4,202.93 and 853.90 is: 1,281.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.54 : 4,202.93 = 853.90 : x
  2. Step 2: Convert to fraction form
    2,801.54/4,202.93 = 853.90/x
  3. Step 3: Cross multiply
    2,801.54x = 4,202.93 × 853.90
  4. Step 4: Simplify right side
    2,801.54x = 3,588,873.55
  5. Step 5: Solve for x
    x = 3,588,873.55/2,801.54
  6. Step 6: Final answer
    x = 1,281.03

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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.