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Finding the Fourth Proportional to 31,765.75, 47,631.52 and 10,698.78

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Solution

The fourth proportional to 31,765.75, 47,631.52 and 10,698.78 is: 16,042.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,765.75 : 47,631.52 = 10,698.78 : x
  2. Step 2: Convert to fraction form
    31,765.75/47,631.52 = 10,698.78/x
  3. Step 3: Cross multiply
    31,765.75x = 47,631.52 × 10,698.78
  4. Step 4: Simplify right side
    31,765.75x = 509,599,153.55
  5. Step 5: Solve for x
    x = 509,599,153.55/31,765.75
  6. Step 6: Final answer
    x = 16,042.41

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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.