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Finding the Fourth Proportional to 31,993.76, 47,987.20 and 8,622.56

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Solution

The fourth proportional to 31,993.76, 47,987.20 and 8,622.56 is: 12,932.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,993.76 : 47,987.20 = 8,622.56 : x
  2. Step 2: Convert to fraction form
    31,993.76/47,987.20 = 8,622.56/x
  3. Step 3: Cross multiply
    31,993.76x = 47,987.20 × 8,622.56
  4. Step 4: Simplify right side
    31,993.76x = 413,772,511.23
  5. Step 5: Solve for x
    x = 413,772,511.23/31,993.76
  6. Step 6: Final answer
    x = 12,932.91

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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.