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Finding the Fourth Proportional to 8,201.32, 11,322.42 and 5,411.68

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Solution

The fourth proportional to 8,201.32, 11,322.42 and 5,411.68 is: 7,471.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.32 : 11,322.42 = 5,411.68 : x
  2. Step 2: Convert to fraction form
    8,201.32/11,322.42 = 5,411.68/x
  3. Step 3: Cross multiply
    8,201.32x = 11,322.42 × 5,411.68
  4. Step 4: Simplify right side
    8,201.32x = 61,273,313.87
  5. Step 5: Solve for x
    x = 61,273,313.87/8,201.32
  6. Step 6: Final answer
    x = 7,471.15

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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.