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Finding the Fourth Proportional to 13,672.80, 20,518.80 and 5,887.20

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Solution

The fourth proportional to 13,672.80, 20,518.80 and 5,887.20 is: 8,834.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,672.80 : 20,518.80 = 5,887.20 : x
  2. Step 2: Convert to fraction form
    13,672.80/20,518.80 = 5,887.20/x
  3. Step 3: Cross multiply
    13,672.80x = 20,518.80 × 5,887.20
  4. Step 4: Simplify right side
    13,672.80x = 120,798,279.36
  5. Step 5: Solve for x
    x = 120,798,279.36/13,672.80
  6. Step 6: Final answer
    x = 8,834.93

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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.