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Finding the Fourth Proportional to 15,206.92, 20,974 and 13,086

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Solution

The fourth proportional to 15,206.92, 20,974 and 13,086 is: 18,048.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,206.92 : 20,974 = 13,086 : x
  2. Step 2: Convert to fraction form
    15,206.92/20,974 = 13,086/x
  3. Step 3: Cross multiply
    15,206.92x = 20,974 × 13,086
  4. Step 4: Simplify right side
    15,206.92x = 274,465,764
  5. Step 5: Solve for x
    x = 274,465,764/15,206.92
  6. Step 6: Final answer
    x = 18,048.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.