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Finding the Fourth Proportional to 13,488, 20,232 and 4,720.83

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Solution

The fourth proportional to 13,488, 20,232 and 4,720.83 is: 7,081.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,488 : 20,232 = 4,720.83 : x
  2. Step 2: Convert to fraction form
    13,488/20,232 = 4,720.83/x
  3. Step 3: Cross multiply
    13,488x = 20,232 × 4,720.83
  4. Step 4: Simplify right side
    13,488x = 95,511,832.56
  5. Step 5: Solve for x
    x = 95,511,832.56/13,488
  6. Step 6: Final answer
    x = 7,081.25

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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.