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Finding the Fourth Proportional to 12,571.84, 18,858 and 3,806.72

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Solution

The fourth proportional to 12,571.84, 18,858 and 3,806.72 is: 5,710.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,571.84 : 18,858 = 3,806.72 : x
  2. Step 2: Convert to fraction form
    12,571.84/18,858 = 3,806.72/x
  3. Step 3: Cross multiply
    12,571.84x = 18,858 × 3,806.72
  4. Step 4: Simplify right side
    12,571.84x = 71,787,125.76
  5. Step 5: Solve for x
    x = 71,787,125.76/12,571.84
  6. Step 6: Final answer
    x = 5,710.15

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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.