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Finding the Fourth Proportional to 17,760, 26,645.22 and 5,280.12

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Solution

The fourth proportional to 17,760, 26,645.22 and 5,280.12 is: 7,921.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,760 : 26,645.22 = 5,280.12 : x
  2. Step 2: Convert to fraction form
    17,760/26,645.22 = 5,280.12/x
  3. Step 3: Cross multiply
    17,760x = 26,645.22 × 5,280.12
  4. Step 4: Simplify right side
    17,760x = 140,689,959.03
  5. Step 5: Solve for x
    x = 140,689,959.03/17,760
  6. Step 6: Final answer
    x = 7,921.73

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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.