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Finding the Fourth Proportional to 12,699.88, 19,049.92 and 3,934.74

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Solution

The fourth proportional to 12,699.88, 19,049.92 and 3,934.74 is: 5,902.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,699.88 : 19,049.92 = 3,934.74 : x
  2. Step 2: Convert to fraction form
    12,699.88/19,049.92 = 3,934.74/x
  3. Step 3: Cross multiply
    12,699.88x = 19,049.92 × 3,934.74
  4. Step 4: Simplify right side
    12,699.88x = 74,956,482.22
  5. Step 5: Solve for x
    x = 74,956,482.22/12,699.88
  6. Step 6: Final answer
    x = 5,902.14

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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.