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Finding the Fourth Proportional to 19,388.31, 29,076.31 and 7,541.30

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Solution

The fourth proportional to 19,388.31, 29,076.31 and 7,541.30 is: 11,309.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,388.31 : 29,076.31 = 7,541.30 : x
  2. Step 2: Convert to fraction form
    19,388.31/29,076.31 = 7,541.30/x
  3. Step 3: Cross multiply
    19,388.31x = 29,076.31 × 7,541.30
  4. Step 4: Simplify right side
    19,388.31x = 219,273,195.46
  5. Step 5: Solve for x
    x = 219,273,195.46/19,388.31
  6. Step 6: Final answer
    x = 11,309.56

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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.