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Finding the Fourth Proportional to 10,909.52, 16,362.12 and 9,072.44

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Solution

The fourth proportional to 10,909.52, 16,362.12 and 9,072.44 is: 13,606.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,909.52 : 16,362.12 = 9,072.44 : x
  2. Step 2: Convert to fraction form
    10,909.52/16,362.12 = 9,072.44/x
  3. Step 3: Cross multiply
    10,909.52x = 16,362.12 × 9,072.44
  4. Step 4: Simplify right side
    10,909.52x = 148,444,351.97
  5. Step 5: Solve for x
    x = 148,444,351.97/10,909.52
  6. Step 6: Final answer
    x = 13,606.86

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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.