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Finding the Fourth Proportional to 11,813, 17,719.50 and 4,887.68

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Solution

The fourth proportional to 11,813, 17,719.50 and 4,887.68 is: 7,331.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,813 : 17,719.50 = 4,887.68 : x
  2. Step 2: Convert to fraction form
    11,813/17,719.50 = 4,887.68/x
  3. Step 3: Cross multiply
    11,813x = 17,719.50 × 4,887.68
  4. Step 4: Simplify right side
    11,813x = 86,607,245.76
  5. Step 5: Solve for x
    x = 86,607,245.76/11,813
  6. Step 6: Final answer
    x = 7,331.52

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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.