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Finding the Fourth Proportional to 11,681.50, 16,120.49 and 7,489.75

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Solution

The fourth proportional to 11,681.50, 16,120.49 and 7,489.75 is: 10,335.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,681.50 : 16,120.49 = 7,489.75 : x
  2. Step 2: Convert to fraction form
    11,681.50/16,120.49 = 7,489.75/x
  3. Step 3: Cross multiply
    11,681.50x = 16,120.49 × 7,489.75
  4. Step 4: Simplify right side
    11,681.50x = 120,738,439.98
  5. Step 5: Solve for x
    x = 120,738,439.98/11,681.50
  6. Step 6: Final answer
    x = 10,335.87

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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.