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Finding the Fourth Proportional to 3,847.34, 5,310 and 2,728.32

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Solution

The fourth proportional to 3,847.34, 5,310 and 2,728.32 is: 3,765.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.34 : 5,310 = 2,728.32 : x
  2. Step 2: Convert to fraction form
    3,847.34/5,310 = 2,728.32/x
  3. Step 3: Cross multiply
    3,847.34x = 5,310 × 2,728.32
  4. Step 4: Simplify right side
    3,847.34x = 14,487,379.20
  5. Step 5: Solve for x
    x = 14,487,379.20/3,847.34
  6. Step 6: Final answer
    x = 3,765.56

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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.