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Finding the Fourth Proportional to 12,699.86, 19,049.90 and 3,465.86

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Solution

The fourth proportional to 12,699.86, 19,049.90 and 3,465.86 is: 5,198.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,699.86 : 19,049.90 = 3,465.86 : x
  2. Step 2: Convert to fraction form
    12,699.86/19,049.90 = 3,465.86/x
  3. Step 3: Cross multiply
    12,699.86x = 19,049.90 × 3,465.86
  4. Step 4: Simplify right side
    12,699.86x = 66,024,173.84
  5. Step 5: Solve for x
    x = 66,024,173.84/12,699.86
  6. Step 6: Final answer
    x = 5,198.81

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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.