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Finding the Fourth Proportional to 31,362, 47,046.24 and 12,648.48

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Solution

The fourth proportional to 31,362, 47,046.24 and 12,648.48 is: 18,974.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,362 : 47,046.24 = 12,648.48 : x
  2. Step 2: Convert to fraction form
    31,362/47,046.24 = 12,648.48/x
  3. Step 3: Cross multiply
    31,362x = 47,046.24 × 12,648.48
  4. Step 4: Simplify right side
    31,362x = 595,063,425.72
  5. Step 5: Solve for x
    x = 595,063,425.72/31,362
  6. Step 6: Final answer
    x = 18,974.03

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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.