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Finding the Fourth Proportional to 13,793.41, 20,689.71 and 8,209.40

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Solution

The fourth proportional to 13,793.41, 20,689.71 and 8,209.40 is: 12,313.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,793.41 : 20,689.71 = 8,209.40 : x
  2. Step 2: Convert to fraction form
    13,793.41/20,689.71 = 8,209.40/x
  3. Step 3: Cross multiply
    13,793.41x = 20,689.71 × 8,209.40
  4. Step 4: Simplify right side
    13,793.41x = 169,849,971.04
  5. Step 5: Solve for x
    x = 169,849,971.04/13,793.41
  6. Step 6: Final answer
    x = 12,313.85

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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.