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Finding the Fourth Proportional to 3,847, 5,308.86 and 2,191.32

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Solution

The fourth proportional to 3,847, 5,308.86 and 2,191.32 is: 3,024.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847 : 5,308.86 = 2,191.32 : x
  2. Step 2: Convert to fraction form
    3,847/5,308.86 = 2,191.32/x
  3. Step 3: Cross multiply
    3,847x = 5,308.86 × 2,191.32
  4. Step 4: Simplify right side
    3,847x = 11,633,411.10
  5. Step 5: Solve for x
    x = 11,633,411.10/3,847
  6. Step 6: Final answer
    x = 3,024.02

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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.