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Finding the Fourth Proportional to 15,108.50, 20,849.13 and 8,394.54

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Solution

The fourth proportional to 15,108.50, 20,849.13 and 8,394.54 is: 11,584.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,108.50 : 20,849.13 = 8,394.54 : x
  2. Step 2: Convert to fraction form
    15,108.50/20,849.13 = 8,394.54/x
  3. Step 3: Cross multiply
    15,108.50x = 20,849.13 × 8,394.54
  4. Step 4: Simplify right side
    15,108.50x = 175,018,855.75
  5. Step 5: Solve for x
    x = 175,018,855.75/15,108.50
  6. Step 6: Final answer
    x = 11,584.14

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1.5x scale

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.