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Finding the Fourth Proportional to 31,891.50, 47,843.32 and 9,707.12

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Solution

The fourth proportional to 31,891.50, 47,843.32 and 9,707.12 is: 14,562.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,891.50 : 47,843.32 = 9,707.12 : x
  2. Step 2: Convert to fraction form
    31,891.50/47,843.32 = 9,707.12/x
  3. Step 3: Cross multiply
    31,891.50x = 47,843.32 × 9,707.12
  4. Step 4: Simplify right side
    31,891.50x = 464,420,848.44
  5. Step 5: Solve for x
    x = 464,420,848.44/31,891.50
  6. Step 6: Final answer
    x = 14,562.53

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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.