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Finding the Fourth Proportional to 31,536, 47,310.48 and 13,068

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Solution

The fourth proportional to 31,536, 47,310.48 and 13,068 is: 19,604.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,536 : 47,310.48 = 13,068 : x
  2. Step 2: Convert to fraction form
    31,536/47,310.48 = 13,068/x
  3. Step 3: Cross multiply
    31,536x = 47,310.48 × 13,068
  4. Step 4: Simplify right side
    31,536x = 618,253,352.64
  5. Step 5: Solve for x
    x = 618,253,352.64/31,536
  6. Step 6: Final answer
    x = 19,604.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.