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Finding the Fourth Proportional to 31,291.97, 46,938.04 and 9,105.88

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Solution

The fourth proportional to 31,291.97, 46,938.04 and 9,105.88 is: 13,658.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,291.97 : 46,938.04 = 9,105.88 : x
  2. Step 2: Convert to fraction form
    31,291.97/46,938.04 = 9,105.88/x
  3. Step 3: Cross multiply
    31,291.97x = 46,938.04 × 9,105.88
  4. Step 4: Simplify right side
    31,291.97x = 427,412,159.68
  5. Step 5: Solve for x
    x = 427,412,159.68/31,291.97
  6. Step 6: Final answer
    x = 13,658.84

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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.