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Finding the Fourth Proportional to 11,815.34, 16,306.97 and 8,978.09

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Solution

The fourth proportional to 11,815.34, 16,306.97 and 8,978.09 is: 12,391.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,815.34 : 16,306.97 = 8,978.09 : x
  2. Step 2: Convert to fraction form
    11,815.34/16,306.97 = 8,978.09/x
  3. Step 3: Cross multiply
    11,815.34x = 16,306.97 × 8,978.09
  4. Step 4: Simplify right side
    11,815.34x = 146,405,317.86
  5. Step 5: Solve for x
    x = 146,405,317.86/11,815.34
  6. Step 6: Final answer
    x = 12,391.13

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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.