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Finding the Fourth Proportional to 12,798.61, 19,198.07 and 3,914.12

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Solution

The fourth proportional to 12,798.61, 19,198.07 and 3,914.12 is: 5,871.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,798.61 : 19,198.07 = 3,914.12 : x
  2. Step 2: Convert to fraction form
    12,798.61/19,198.07 = 3,914.12/x
  3. Step 3: Cross multiply
    12,798.61x = 19,198.07 × 3,914.12
  4. Step 4: Simplify right side
    12,798.61x = 75,143,549.75
  5. Step 5: Solve for x
    x = 75,143,549.75/12,798.61
  6. Step 6: Final answer
    x = 5,871.23

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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.