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Finding the Fourth Proportional to 31,906.82, 47,862.93 and 9,720.38

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Solution

The fourth proportional to 31,906.82, 47,862.93 and 9,720.38 is: 14,581.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,906.82 : 47,862.93 = 9,720.38 : x
  2. Step 2: Convert to fraction form
    31,906.82/47,862.93 = 9,720.38/x
  3. Step 3: Cross multiply
    31,906.82x = 47,862.93 × 9,720.38
  4. Step 4: Simplify right side
    31,906.82x = 465,245,628.20
  5. Step 5: Solve for x
    x = 465,245,628.20/31,906.82
  6. Step 6: Final answer
    x = 14,581.39

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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.