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Finding the Fourth Proportional to 11,892.15, 16,411.46 and 6,514.88

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Solution

The fourth proportional to 11,892.15, 16,411.46 and 6,514.88 is: 8,990.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,892.15 : 16,411.46 = 6,514.88 : x
  2. Step 2: Convert to fraction form
    11,892.15/16,411.46 = 6,514.88/x
  3. Step 3: Cross multiply
    11,892.15x = 16,411.46 × 6,514.88
  4. Step 4: Simplify right side
    11,892.15x = 106,918,706.85
  5. Step 5: Solve for x
    x = 106,918,706.85/11,892.15
  6. Step 6: Final answer
    x = 8,990.70

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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.