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Finding the Fourth Proportional to 11,680.61, 16,037.82 and 11,376.18

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Solution

The fourth proportional to 11,680.61, 16,037.82 and 11,376.18 is: 15,619.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,680.61 : 16,037.82 = 11,376.18 : x
  2. Step 2: Convert to fraction form
    11,680.61/16,037.82 = 11,376.18/x
  3. Step 3: Cross multiply
    11,680.61x = 16,037.82 × 11,376.18
  4. Step 4: Simplify right side
    11,680.61x = 182,449,127.13
  5. Step 5: Solve for x
    x = 182,449,127.13/11,680.61
  6. Step 6: Final answer
    x = 15,619.84

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.