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Finding the Fourth Proportional to 12,691.68, 19,035 and 3,924.48

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Solution

The fourth proportional to 12,691.68, 19,035 and 3,924.48 is: 5,885.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,691.68 : 19,035 = 3,924.48 : x
  2. Step 2: Convert to fraction form
    12,691.68/19,035 = 3,924.48/x
  3. Step 3: Cross multiply
    12,691.68x = 19,035 × 3,924.48
  4. Step 4: Simplify right side
    12,691.68x = 74,702,476.80
  5. Step 5: Solve for x
    x = 74,702,476.80/12,691.68
  6. Step 6: Final answer
    x = 5,885.94

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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.