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Finding the Fourth Proportional to 31,986.09, 47,986.02 and 9,801

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Solution

The fourth proportional to 31,986.09, 47,986.02 and 9,801 is: 14,703.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,986.09 : 47,986.02 = 9,801 : x
  2. Step 2: Convert to fraction form
    31,986.09/47,986.02 = 9,801/x
  3. Step 3: Cross multiply
    31,986.09x = 47,986.02 × 9,801
  4. Step 4: Simplify right side
    31,986.09x = 470,310,982.02
  5. Step 5: Solve for x
    x = 470,310,982.02/31,986.09
  6. Step 6: Final answer
    x = 14,703.61

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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.