Home / 8,194-12,268.60-5,731.28

Finding the Fourth Proportional to 8,194, 12,268.60 and 5,731.28

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Solution

The fourth proportional to 8,194, 12,268.60 and 5,731.28 is: 8,581.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,194 : 12,268.60 = 5,731.28 : x
  2. Step 2: Convert to fraction form
    8,194/12,268.60 = 5,731.28/x
  3. Step 3: Cross multiply
    8,194x = 12,268.60 × 5,731.28
  4. Step 4: Simplify right side
    8,194x = 70,314,781.81
  5. Step 5: Solve for x
    x = 70,314,781.81/8,194
  6. Step 6: Final answer
    x = 8,581.25

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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.