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Finding the Fourth Proportional to 12,564.56, 18,850.77 and 7,887.80

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Solution

The fourth proportional to 12,564.56, 18,850.77 and 7,887.80 is: 11,834.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,564.56 : 18,850.77 = 7,887.80 : x
  2. Step 2: Convert to fraction form
    12,564.56/18,850.77 = 7,887.80/x
  3. Step 3: Cross multiply
    12,564.56x = 18,850.77 × 7,887.80
  4. Step 4: Simplify right side
    12,564.56x = 148,691,103.61
  5. Step 5: Solve for x
    x = 148,691,103.61/12,564.56
  6. Step 6: Final answer
    x = 11,834.17

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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.