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Finding the Fourth Proportional to 15,992.75, 22,071.08 and 9,278.38

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Solution

The fourth proportional to 15,992.75, 22,071.08 and 9,278.38 is: 12,804.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,992.75 : 22,071.08 = 9,278.38 : x
  2. Step 2: Convert to fraction form
    15,992.75/22,071.08 = 9,278.38/x
  3. Step 3: Cross multiply
    15,992.75x = 22,071.08 × 9,278.38
  4. Step 4: Simplify right side
    15,992.75x = 204,783,883.24
  5. Step 5: Solve for x
    x = 204,783,883.24/15,992.75
  6. Step 6: Final answer
    x = 12,804.79

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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.