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Finding the Fourth Proportional to 11,697.56, 16,136.64 and 7,920.88

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Solution

The fourth proportional to 11,697.56, 16,136.64 and 7,920.88 is: 10,926.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,697.56 : 16,136.64 = 7,920.88 : x
  2. Step 2: Convert to fraction form
    11,697.56/16,136.64 = 7,920.88/x
  3. Step 3: Cross multiply
    11,697.56x = 16,136.64 × 7,920.88
  4. Step 4: Simplify right side
    11,697.56x = 127,816,389.04
  5. Step 5: Solve for x
    x = 127,816,389.04/11,697.56
  6. Step 6: Final answer
    x = 10,926.76

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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.