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Finding the Fourth Proportional to 20,957.81, 31,443.73 and 8,471.12

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Solution

The fourth proportional to 20,957.81, 31,443.73 and 8,471.12 is: 12,709.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,957.81 : 31,443.73 = 8,471.12 : x
  2. Step 2: Convert to fraction form
    20,957.81/31,443.73 = 8,471.12/x
  3. Step 3: Cross multiply
    20,957.81x = 31,443.73 × 8,471.12
  4. Step 4: Simplify right side
    20,957.81x = 266,363,431.68
  5. Step 5: Solve for x
    x = 266,363,431.68/20,957.81
  6. Step 6: Final answer
    x = 12,709.51

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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.