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Finding the Fourth Proportional to 31,993.63, 47,991.57 and 8,620.63

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Solution

The fourth proportional to 31,993.63, 47,991.57 and 8,620.63 is: 12,931.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,993.63 : 47,991.57 = 8,620.63 : x
  2. Step 2: Convert to fraction form
    31,993.63/47,991.57 = 8,620.63/x
  3. Step 3: Cross multiply
    31,993.63x = 47,991.57 × 8,620.63
  4. Step 4: Simplify right side
    31,993.63x = 413,717,568.09
  5. Step 5: Solve for x
    x = 413,717,568.09/31,993.63
  6. Step 6: Final answer
    x = 12,931.25

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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.