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Finding the Fourth Proportional to 5,202.78, 7,801.02 and 2,388.07

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Solution

The fourth proportional to 5,202.78, 7,801.02 and 2,388.07 is: 3,580.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202.78 : 7,801.02 = 2,388.07 : x
  2. Step 2: Convert to fraction form
    5,202.78/7,801.02 = 2,388.07/x
  3. Step 3: Cross multiply
    5,202.78x = 7,801.02 × 2,388.07
  4. Step 4: Simplify right side
    5,202.78x = 18,629,381.83
  5. Step 5: Solve for x
    x = 18,629,381.83/5,202.78
  6. Step 6: Final answer
    x = 3,580.66

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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.