Home / 15,318.32-22,965.94-7,823

Finding the Fourth Proportional to 15,318.32, 22,965.94 and 7,823

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Solution

The fourth proportional to 15,318.32, 22,965.94 and 7,823 is: 11,728.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,318.32 : 22,965.94 = 7,823 : x
  2. Step 2: Convert to fraction form
    15,318.32/22,965.94 = 7,823/x
  3. Step 3: Cross multiply
    15,318.32x = 22,965.94 × 7,823
  4. Step 4: Simplify right side
    15,318.32x = 179,662,548.62
  5. Step 5: Solve for x
    x = 179,662,548.62/15,318.32
  6. Step 6: Final answer
    x = 11,728.61

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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.