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Finding the Fourth Proportional to 13,887.91, 20,834.03 and 4,651.75

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Solution

The fourth proportional to 13,887.91, 20,834.03 and 4,651.75 is: 6,978.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,887.91 : 20,834.03 = 4,651.75 : x
  2. Step 2: Convert to fraction form
    13,887.91/20,834.03 = 4,651.75/x
  3. Step 3: Cross multiply
    13,887.91x = 20,834.03 × 4,651.75
  4. Step 4: Simplify right side
    13,887.91x = 96,914,699.05
  5. Step 5: Solve for x
    x = 96,914,699.05/13,887.91
  6. Step 6: Final answer
    x = 6,978.35

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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.