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Finding the Fourth Proportional to 4,782.78, 7,174.17 and 2,188.62

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Solution

The fourth proportional to 4,782.78, 7,174.17 and 2,188.62 is: 3,282.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782.78 : 7,174.17 = 2,188.62 : x
  2. Step 2: Convert to fraction form
    4,782.78/7,174.17 = 2,188.62/x
  3. Step 3: Cross multiply
    4,782.78x = 7,174.17 × 2,188.62
  4. Step 4: Simplify right side
    4,782.78x = 15,701,531.95
  5. Step 5: Solve for x
    x = 15,701,531.95/4,782.78
  6. Step 6: Final answer
    x = 3,282.93

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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.