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Finding the Fourth Proportional to 15,786, 23,647 and 7,340.68

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Solution

The fourth proportional to 15,786, 23,647 and 7,340.68 is: 10,996.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,786 : 23,647 = 7,340.68 : x
  2. Step 2: Convert to fraction form
    15,786/23,647 = 7,340.68/x
  3. Step 3: Cross multiply
    15,786x = 23,647 × 7,340.68
  4. Step 4: Simplify right side
    15,786x = 173,585,059.96
  5. Step 5: Solve for x
    x = 173,585,059.96/15,786
  6. Step 6: Final answer
    x = 10,996.14

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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.