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Finding the Fourth Proportional to 12,915, 19,372.68 and 3,681

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Solution

The fourth proportional to 12,915, 19,372.68 and 3,681 is: 5,521.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,915 : 19,372.68 = 3,681 : x
  2. Step 2: Convert to fraction form
    12,915/19,372.68 = 3,681/x
  3. Step 3: Cross multiply
    12,915x = 19,372.68 × 3,681
  4. Step 4: Simplify right side
    12,915x = 71,310,835.08
  5. Step 5: Solve for x
    x = 71,310,835.08/12,915
  6. Step 6: Final answer
    x = 5,521.55

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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.