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Finding the Fourth Proportional to 20,893.71, 31,332.68 and 8,409.48

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Solution

The fourth proportional to 20,893.71, 31,332.68 and 8,409.48 is: 12,611.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,893.71 : 31,332.68 = 8,409.48 : x
  2. Step 2: Convert to fraction form
    20,893.71/31,332.68 = 8,409.48/x
  3. Step 3: Cross multiply
    20,893.71x = 31,332.68 × 8,409.48
  4. Step 4: Simplify right side
    20,893.71x = 263,491,503.76
  5. Step 5: Solve for x
    x = 263,491,503.76/20,893.71
  6. Step 6: Final answer
    x = 12,611.04

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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.