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Finding the Fourth Proportional to 31,815, 47,722.50 and 9,927

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Solution

The fourth proportional to 31,815, 47,722.50 and 9,927 is: 14,890.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,815 : 47,722.50 = 9,927 : x
  2. Step 2: Convert to fraction form
    31,815/47,722.50 = 9,927/x
  3. Step 3: Cross multiply
    31,815x = 47,722.50 × 9,927
  4. Step 4: Simplify right side
    31,815x = 473,741,257.50
  5. Step 5: Solve for x
    x = 473,741,257.50/31,815
  6. Step 6: Final answer
    x = 14,890.50

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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.