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Finding the Fourth Proportional to 19,911, 29,860.40 and 6,760.44

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Solution

The fourth proportional to 19,911, 29,860.40 and 6,760.44 is: 10,138.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,911 : 29,860.40 = 6,760.44 : x
  2. Step 2: Convert to fraction form
    19,911/29,860.40 = 6,760.44/x
  3. Step 3: Cross multiply
    19,911x = 29,860.40 × 6,760.44
  4. Step 4: Simplify right side
    19,911x = 201,869,442.58
  5. Step 5: Solve for x
    x = 201,869,442.58/19,911
  6. Step 6: Final answer
    x = 10,138.59

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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.