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Finding the Fourth Proportional to 12,136.64, 18,080.50 and 11,382.14

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Solution

The fourth proportional to 12,136.64, 18,080.50 and 11,382.14 is: 16,956.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,136.64 : 18,080.50 = 11,382.14 : x
  2. Step 2: Convert to fraction form
    12,136.64/18,080.50 = 11,382.14/x
  3. Step 3: Cross multiply
    12,136.64x = 18,080.50 × 11,382.14
  4. Step 4: Simplify right side
    12,136.64x = 205,794,782.27
  5. Step 5: Solve for x
    x = 205,794,782.27/12,136.64
  6. Step 6: Final answer
    x = 16,956.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.