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Finding the Fourth Proportional to 12,571.12, 18,861.54 and 5,644

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Solution

The fourth proportional to 12,571.12, 18,861.54 and 5,644 is: 8,468.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,571.12 : 18,861.54 = 5,644 : x
  2. Step 2: Convert to fraction form
    12,571.12/18,861.54 = 5,644/x
  3. Step 3: Cross multiply
    12,571.12x = 18,861.54 × 5,644
  4. Step 4: Simplify right side
    12,571.12x = 106,454,531.76
  5. Step 5: Solve for x
    x = 106,454,531.76/12,571.12
  6. Step 6: Final answer
    x = 8,468.18

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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.