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Finding the Fourth Proportional to 31,833.54, 47,747.95 and 12,859.49

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Solution

The fourth proportional to 31,833.54, 47,747.95 and 12,859.49 is: 19,288.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,833.54 : 47,747.95 = 12,859.49 : x
  2. Step 2: Convert to fraction form
    31,833.54/47,747.95 = 12,859.49/x
  3. Step 3: Cross multiply
    31,833.54x = 47,747.95 × 12,859.49
  4. Step 4: Simplify right side
    31,833.54x = 614,014,372.77
  5. Step 5: Solve for x
    x = 614,014,372.77/31,833.54
  6. Step 6: Final answer
    x = 19,288.28

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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.