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Finding the Fourth Proportional to 12,573.84, 18,861 and 3,808.72

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Solution

The fourth proportional to 12,573.84, 18,861 and 3,808.72 is: 5,713.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,573.84 : 18,861 = 3,808.72 : x
  2. Step 2: Convert to fraction form
    12,573.84/18,861 = 3,808.72/x
  3. Step 3: Cross multiply
    12,573.84x = 18,861 × 3,808.72
  4. Step 4: Simplify right side
    12,573.84x = 71,836,267.92
  5. Step 5: Solve for x
    x = 71,836,267.92/12,573.84
  6. Step 6: Final answer
    x = 5,713.15

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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.