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Finding the Fourth Proportional to 15,849, 23,776.74 and 6,615

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Solution

The fourth proportional to 15,849, 23,776.74 and 6,615 is: 9,923.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,849 : 23,776.74 = 6,615 : x
  2. Step 2: Convert to fraction form
    15,849/23,776.74 = 6,615/x
  3. Step 3: Cross multiply
    15,849x = 23,776.74 × 6,615
  4. Step 4: Simplify right side
    15,849x = 157,283,135.10
  5. Step 5: Solve for x
    x = 157,283,135.10/15,849
  6. Step 6: Final answer
    x = 9,923.85

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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.