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Finding the Fourth Proportional to 12,873.24, 19,311 and 5,080.20

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Solution

The fourth proportional to 12,873.24, 19,311 and 5,080.20 is: 7,620.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,873.24 : 19,311 = 5,080.20 : x
  2. Step 2: Convert to fraction form
    12,873.24/19,311 = 5,080.20/x
  3. Step 3: Cross multiply
    12,873.24x = 19,311 × 5,080.20
  4. Step 4: Simplify right side
    12,873.24x = 98,103,742.20
  5. Step 5: Solve for x
    x = 98,103,742.20/12,873.24
  6. Step 6: Final answer
    x = 7,620.75

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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.