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Finding the Fourth Proportional to 3,774.90, 5,684.96 and 3,438.22

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Solution

The fourth proportional to 3,774.90, 5,684.96 and 3,438.22 is: 5,177.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.90 : 5,684.96 = 3,438.22 : x
  2. Step 2: Convert to fraction form
    3,774.90/5,684.96 = 3,438.22/x
  3. Step 3: Cross multiply
    3,774.90x = 5,684.96 × 3,438.22
  4. Step 4: Simplify right side
    3,774.90x = 19,546,143.17
  5. Step 5: Solve for x
    x = 19,546,143.17/3,774.90
  6. Step 6: Final answer
    x = 5,177.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.