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Finding the Fourth Proportional to 7,217.56, 10,826.34 and 1,745.56

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Solution

The fourth proportional to 7,217.56, 10,826.34 and 1,745.56 is: 2,618.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,217.56 : 10,826.34 = 1,745.56 : x
  2. Step 2: Convert to fraction form
    7,217.56/10,826.34 = 1,745.56/x
  3. Step 3: Cross multiply
    7,217.56x = 10,826.34 × 1,745.56
  4. Step 4: Simplify right side
    7,217.56x = 18,898,026.05
  5. Step 5: Solve for x
    x = 18,898,026.05/7,217.56
  6. Step 6: Final answer
    x = 2,618.34

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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.