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Finding the Fourth Proportional to 11,817.60, 16,314.12 and 8,060.28

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Solution

The fourth proportional to 11,817.60, 16,314.12 and 8,060.28 is: 11,127.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,817.60 : 16,314.12 = 8,060.28 : x
  2. Step 2: Convert to fraction form
    11,817.60/16,314.12 = 8,060.28/x
  3. Step 3: Cross multiply
    11,817.60x = 16,314.12 × 8,060.28
  4. Step 4: Simplify right side
    11,817.60x = 131,496,375.15
  5. Step 5: Solve for x
    x = 131,496,375.15/11,817.60
  6. Step 6: Final answer
    x = 11,127.16

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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.