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Finding the Fourth Proportional to 15,093.88, 20,823.08 and 9,122.09

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Solution

The fourth proportional to 15,093.88, 20,823.08 and 9,122.09 is: 12,584.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,093.88 : 20,823.08 = 9,122.09 : x
  2. Step 2: Convert to fraction form
    15,093.88/20,823.08 = 9,122.09/x
  3. Step 3: Cross multiply
    15,093.88x = 20,823.08 × 9,122.09
  4. Step 4: Simplify right side
    15,093.88x = 189,949,860.11
  5. Step 5: Solve for x
    x = 189,949,860.11/15,093.88
  6. Step 6: Final answer
    x = 12,584.56

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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.