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Finding the Fourth Proportional to 11,442.78, 17,161.29 and 3,647.58

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Solution

The fourth proportional to 11,442.78, 17,161.29 and 3,647.58 is: 5,470.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,442.78 : 17,161.29 = 3,647.58 : x
  2. Step 2: Convert to fraction form
    11,442.78/17,161.29 = 3,647.58/x
  3. Step 3: Cross multiply
    11,442.78x = 17,161.29 × 3,647.58
  4. Step 4: Simplify right side
    11,442.78x = 62,597,178.18
  5. Step 5: Solve for x
    x = 62,597,178.18/11,442.78
  6. Step 6: Final answer
    x = 5,470.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.