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Finding the Fourth Proportional to 3,907.32, 5,394.06 and 3,021.12

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Solution

The fourth proportional to 3,907.32, 5,394.06 and 3,021.12 is: 4,170.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.32 : 5,394.06 = 3,021.12 : x
  2. Step 2: Convert to fraction form
    3,907.32/5,394.06 = 3,021.12/x
  3. Step 3: Cross multiply
    3,907.32x = 5,394.06 × 3,021.12
  4. Step 4: Simplify right side
    3,907.32x = 16,296,102.55
  5. Step 5: Solve for x
    x = 16,296,102.55/3,907.32
  6. Step 6: Final answer
    x = 4,170.66

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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.