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Finding the Fourth Proportional to 3,974.67, 5,477.22 and 3,345.30

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Solution

The fourth proportional to 3,974.67, 5,477.22 and 3,345.30 is: 4,609.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974.67 : 5,477.22 = 3,345.30 : x
  2. Step 2: Convert to fraction form
    3,974.67/5,477.22 = 3,345.30/x
  3. Step 3: Cross multiply
    3,974.67x = 5,477.22 × 3,345.30
  4. Step 4: Simplify right side
    3,974.67x = 18,322,944.07
  5. Step 5: Solve for x
    x = 18,322,944.07/3,974.67
  6. Step 6: Final answer
    x = 4,609.93

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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.