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Finding the Fourth Proportional to 31,816.46, 47,725.90 and 8,443.10

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Solution

The fourth proportional to 31,816.46, 47,725.90 and 8,443.10 is: 12,664.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,816.46 : 47,725.90 = 8,443.10 : x
  2. Step 2: Convert to fraction form
    31,816.46/47,725.90 = 8,443.10/x
  3. Step 3: Cross multiply
    31,816.46x = 47,725.90 × 8,443.10
  4. Step 4: Simplify right side
    31,816.46x = 402,954,546.29
  5. Step 5: Solve for x
    x = 402,954,546.29/31,816.46
  6. Step 6: Final answer
    x = 12,664.97

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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.