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Finding the Fourth Proportional to 15,326, 22,972.65 and 8,738

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Solution

The fourth proportional to 15,326, 22,972.65 and 8,738 is: 13,097.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,326 : 22,972.65 = 8,738 : x
  2. Step 2: Convert to fraction form
    15,326/22,972.65 = 8,738/x
  3. Step 3: Cross multiply
    15,326x = 22,972.65 × 8,738
  4. Step 4: Simplify right side
    15,326x = 200,735,015.70
  5. Step 5: Solve for x
    x = 200,735,015.70/15,326
  6. Step 6: Final answer
    x = 13,097.68

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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.