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Finding the Fourth Proportional to 5,719.74, 7,894.36 and 3,361.89

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Solution

The fourth proportional to 5,719.74, 7,894.36 and 3,361.89 is: 4,640.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,719.74 : 7,894.36 = 3,361.89 : x
  2. Step 2: Convert to fraction form
    5,719.74/7,894.36 = 3,361.89/x
  3. Step 3: Cross multiply
    5,719.74x = 7,894.36 × 3,361.89
  4. Step 4: Simplify right side
    5,719.74x = 26,539,969.94
  5. Step 5: Solve for x
    x = 26,539,969.94/5,719.74
  6. Step 6: Final answer
    x = 4,640.07

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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.