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Finding the Fourth Proportional to 7,365, 10,163.96 and 4,221.78

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Solution

The fourth proportional to 7,365, 10,163.96 and 4,221.78 is: 5,826.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,365 : 10,163.96 = 4,221.78 : x
  2. Step 2: Convert to fraction form
    7,365/10,163.96 = 4,221.78/x
  3. Step 3: Cross multiply
    7,365x = 10,163.96 × 4,221.78
  4. Step 4: Simplify right side
    7,365x = 42,910,003.05
  5. Step 5: Solve for x
    x = 42,910,003.05/7,365
  6. Step 6: Final answer
    x = 5,826.21

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.