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Finding the Fourth Proportional to 12,885, 19,330.74 and 3,651

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Solution

The fourth proportional to 12,885, 19,330.74 and 3,651 is: 5,477.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,885 : 19,330.74 = 3,651 : x
  2. Step 2: Convert to fraction form
    12,885/19,330.74 = 3,651/x
  3. Step 3: Cross multiply
    12,885x = 19,330.74 × 3,651
  4. Step 4: Simplify right side
    12,885x = 70,576,531.74
  5. Step 5: Solve for x
    x = 70,576,531.74/12,885
  6. Step 6: Final answer
    x = 5,477.42

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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.