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Finding the Fourth Proportional to 31,383, 47,078.90 and 9,197.96

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Solution

The fourth proportional to 31,383, 47,078.90 and 9,197.96 is: 13,798.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,383 : 47,078.90 = 9,197.96 : x
  2. Step 2: Convert to fraction form
    31,383/47,078.90 = 9,197.96/x
  3. Step 3: Cross multiply
    31,383x = 47,078.90 × 9,197.96
  4. Step 4: Simplify right side
    31,383x = 433,029,839.04
  5. Step 5: Solve for x
    x = 433,029,839.04/31,383
  6. Step 6: Final answer
    x = 13,798.23

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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.