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Finding the Fourth Proportional to 31,769.77, 47,654.12 and 7,754.31

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Solution

The fourth proportional to 31,769.77, 47,654.12 and 7,754.31 is: 11,631.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,769.77 : 47,654.12 = 7,754.31 : x
  2. Step 2: Convert to fraction form
    31,769.77/47,654.12 = 7,754.31/x
  3. Step 3: Cross multiply
    31,769.77x = 47,654.12 × 7,754.31
  4. Step 4: Simplify right side
    31,769.77x = 369,524,704.62
  5. Step 5: Solve for x
    x = 369,524,704.62/31,769.77
  6. Step 6: Final answer
    x = 11,631.33

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1.5x scale

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.