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Finding the Fourth Proportional to 31,229.38, 46,844.02 and 7,855.81

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Solution

The fourth proportional to 31,229.38, 46,844.02 and 7,855.81 is: 11,783.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,229.38 : 46,844.02 = 7,855.81 : x
  2. Step 2: Convert to fraction form
    31,229.38/46,844.02 = 7,855.81/x
  3. Step 3: Cross multiply
    31,229.38x = 46,844.02 × 7,855.81
  4. Step 4: Simplify right side
    31,229.38x = 367,997,720.76
  5. Step 5: Solve for x
    x = 367,997,720.76/31,229.38
  6. Step 6: Final answer
    x = 11,783.70

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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.