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Finding the Fourth Proportional to 12,037.76, 18,052 and 4,138.80

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Solution

The fourth proportional to 12,037.76, 18,052 and 4,138.80 is: 6,206.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,037.76 : 18,052 = 4,138.80 : x
  2. Step 2: Convert to fraction form
    12,037.76/18,052 = 4,138.80/x
  3. Step 3: Cross multiply
    12,037.76x = 18,052 × 4,138.80
  4. Step 4: Simplify right side
    12,037.76x = 74,713,617.60
  5. Step 5: Solve for x
    x = 74,713,617.60/12,037.76
  6. Step 6: Final answer
    x = 6,206.60

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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.