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Finding the Fourth Proportional to 12,537.24, 18,808 and 4,218.04

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Solution

The fourth proportional to 12,537.24, 18,808 and 4,218.04 is: 6,327.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,537.24 : 18,808 = 4,218.04 : x
  2. Step 2: Convert to fraction form
    12,537.24/18,808 = 4,218.04/x
  3. Step 3: Cross multiply
    12,537.24x = 18,808 × 4,218.04
  4. Step 4: Simplify right side
    12,537.24x = 79,332,896.32
  5. Step 5: Solve for x
    x = 79,332,896.32/12,537.24
  6. Step 6: Final answer
    x = 6,327.78

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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.