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Finding the Fourth Proportional to 31,770.67, 47,640.61 and 9,579.91

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Solution

The fourth proportional to 31,770.67, 47,640.61 and 9,579.91 is: 14,365.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,770.67 : 47,640.61 = 9,579.91 : x
  2. Step 2: Convert to fraction form
    31,770.67/47,640.61 = 9,579.91/x
  3. Step 3: Cross multiply
    31,770.67x = 47,640.61 × 9,579.91
  4. Step 4: Simplify right side
    31,770.67x = 456,392,708.25
  5. Step 5: Solve for x
    x = 456,392,708.25/31,770.67
  6. Step 6: Final answer
    x = 14,365.22

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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.