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Finding the Fourth Proportional to 13,083.30, 19,620.48 and 7,078.14

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Solution

The fourth proportional to 13,083.30, 19,620.48 and 7,078.14 is: 10,614.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,083.30 : 19,620.48 = 7,078.14 : x
  2. Step 2: Convert to fraction form
    13,083.30/19,620.48 = 7,078.14/x
  3. Step 3: Cross multiply
    13,083.30x = 19,620.48 × 7,078.14
  4. Step 4: Simplify right side
    13,083.30x = 138,876,504.31
  5. Step 5: Solve for x
    x = 138,876,504.31/13,083.30
  6. Step 6: Final answer
    x = 10,614.79

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1.5x scale

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.