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Finding the Fourth Proportional to 10,989.38, 16,484.09 and 5,150.09

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Solution

The fourth proportional to 10,989.38, 16,484.09 and 5,150.09 is: 7,725.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,989.38 : 16,484.09 = 5,150.09 : x
  2. Step 2: Convert to fraction form
    10,989.38/16,484.09 = 5,150.09/x
  3. Step 3: Cross multiply
    10,989.38x = 16,484.09 × 5,150.09
  4. Step 4: Simplify right side
    10,989.38x = 84,894,438.90
  5. Step 5: Solve for x
    x = 84,894,438.90/10,989.38
  6. Step 6: Final answer
    x = 7,725.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.