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Finding the Fourth Proportional to 12,549.64, 18,824.94 and 4,229.98

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Solution

The fourth proportional to 12,549.64, 18,824.94 and 4,229.98 is: 6,345.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,549.64 : 18,824.94 = 4,229.98 : x
  2. Step 2: Convert to fraction form
    12,549.64/18,824.94 = 4,229.98/x
  3. Step 3: Cross multiply
    12,549.64x = 18,824.94 × 4,229.98
  4. Step 4: Simplify right side
    12,549.64x = 79,629,119.70
  5. Step 5: Solve for x
    x = 79,629,119.70/12,549.64
  6. Step 6: Final answer
    x = 6,345.13

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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.