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Finding the Fourth Proportional to 19,940.78, 29,911.14 and 6,089.78

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Solution

The fourth proportional to 19,940.78, 29,911.14 and 6,089.78 is: 9,134.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,940.78 : 29,911.14 = 6,089.78 : x
  2. Step 2: Convert to fraction form
    19,940.78/29,911.14 = 6,089.78/x
  3. Step 3: Cross multiply
    19,940.78x = 29,911.14 × 6,089.78
  4. Step 4: Simplify right side
    19,940.78x = 182,152,262.15
  5. Step 5: Solve for x
    x = 182,152,262.15/19,940.78
  6. Step 6: Final answer
    x = 9,134.66

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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.