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Finding the Fourth Proportional to 13,471.08, 20,209.82 and 4,237

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Solution

The fourth proportional to 13,471.08, 20,209.82 and 4,237 is: 6,356.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,471.08 : 20,209.82 = 4,237 : x
  2. Step 2: Convert to fraction form
    13,471.08/20,209.82 = 4,237/x
  3. Step 3: Cross multiply
    13,471.08x = 20,209.82 × 4,237
  4. Step 4: Simplify right side
    13,471.08x = 85,629,007.34
  5. Step 5: Solve for x
    x = 85,629,007.34/13,471.08
  6. Step 6: Final answer
    x = 6,356.51

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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.