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Finding the Fourth Proportional to 34,338.78, 47,390.53 and 19,231.20

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Solution

The fourth proportional to 34,338.78, 47,390.53 and 19,231.20 is: 26,540.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,338.78 : 47,390.53 = 19,231.20 : x
  2. Step 2: Convert to fraction form
    34,338.78/47,390.53 = 19,231.20/x
  3. Step 3: Cross multiply
    34,338.78x = 47,390.53 × 19,231.20
  4. Step 4: Simplify right side
    34,338.78x = 911,376,760.54
  5. Step 5: Solve for x
    x = 911,376,760.54/34,338.78
  6. Step 6: Final answer
    x = 26,540.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.