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Finding the Fourth Proportional to 15,138, 20,890.44 and 8,514

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Solution

The fourth proportional to 15,138, 20,890.44 and 8,514 is: 11,749.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,138 : 20,890.44 = 8,514 : x
  2. Step 2: Convert to fraction form
    15,138/20,890.44 = 8,514/x
  3. Step 3: Cross multiply
    15,138x = 20,890.44 × 8,514
  4. Step 4: Simplify right side
    15,138x = 177,861,206.16
  5. Step 5: Solve for x
    x = 177,861,206.16/15,138
  6. Step 6: Final answer
    x = 11,749.32

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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.