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Finding the Fourth Proportional to 12,314.52, 18,477.24 and 6,469.80

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Solution

The fourth proportional to 12,314.52, 18,477.24 and 6,469.80 is: 9,707.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,314.52 : 18,477.24 = 6,469.80 : x
  2. Step 2: Convert to fraction form
    12,314.52/18,477.24 = 6,469.80/x
  3. Step 3: Cross multiply
    12,314.52x = 18,477.24 × 6,469.80
  4. Step 4: Simplify right side
    12,314.52x = 119,544,047.35
  5. Step 5: Solve for x
    x = 119,544,047.35/12,314.52
  6. Step 6: Final answer
    x = 9,707.57

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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.