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Finding the Fourth Proportional to 31,902.64, 47,850.31 and 8,530.90

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Solution

The fourth proportional to 31,902.64, 47,850.31 and 8,530.90 is: 12,795.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,902.64 : 47,850.31 = 8,530.90 : x
  2. Step 2: Convert to fraction form
    31,902.64/47,850.31 = 8,530.90/x
  3. Step 3: Cross multiply
    31,902.64x = 47,850.31 × 8,530.90
  4. Step 4: Simplify right side
    31,902.64x = 408,205,949.00
  5. Step 5: Solve for x
    x = 408,205,949.00/31,902.64
  6. Step 6: Final answer
    x = 12,795.37

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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.