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Finding the Fourth Proportional to 12,549.80, 18,824.70 and 4,758.20

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Solution

The fourth proportional to 12,549.80, 18,824.70 and 4,758.20 is: 7,137.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,549.80 : 18,824.70 = 4,758.20 : x
  2. Step 2: Convert to fraction form
    12,549.80/18,824.70 = 4,758.20/x
  3. Step 3: Cross multiply
    12,549.80x = 18,824.70 × 4,758.20
  4. Step 4: Simplify right side
    12,549.80x = 89,571,687.54
  5. Step 5: Solve for x
    x = 89,571,687.54/12,549.80
  6. Step 6: Final answer
    x = 7,137.30

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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.