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Finding the Fourth Proportional to 7,365.62, 10,163.85 and 4,221.38

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Solution

The fourth proportional to 7,365.62, 10,163.85 and 4,221.38 is: 5,825.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,365.62 : 10,163.85 = 4,221.38 : x
  2. Step 2: Convert to fraction form
    7,365.62/10,163.85 = 4,221.38/x
  3. Step 3: Cross multiply
    7,365.62x = 10,163.85 × 4,221.38
  4. Step 4: Simplify right side
    7,365.62x = 42,905,473.11
  5. Step 5: Solve for x
    x = 42,905,473.11/7,365.62
  6. Step 6: Final answer
    x = 5,825.10

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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.