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Finding the Fourth Proportional to 5,907.40, 8,150.74 and 3,809

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Solution

The fourth proportional to 5,907.40, 8,150.74 and 3,809 is: 5,255.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,907.40 : 8,150.74 = 3,809 : x
  2. Step 2: Convert to fraction form
    5,907.40/8,150.74 = 3,809/x
  3. Step 3: Cross multiply
    5,907.40x = 8,150.74 × 3,809
  4. Step 4: Simplify right side
    5,907.40x = 31,046,168.66
  5. Step 5: Solve for x
    x = 31,046,168.66/5,907.40
  6. Step 6: Final answer
    x = 5,255.47

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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.