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Finding the Fourth Proportional to 3,846.86, 5,308.94 and 2,145.63

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Solution

The fourth proportional to 3,846.86, 5,308.94 and 2,145.63 is: 2,961.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.86 : 5,308.94 = 2,145.63 : x
  2. Step 2: Convert to fraction form
    3,846.86/5,308.94 = 2,145.63/x
  3. Step 3: Cross multiply
    3,846.86x = 5,308.94 × 2,145.63
  4. Step 4: Simplify right side
    3,846.86x = 11,391,010.20
  5. Step 5: Solve for x
    x = 11,391,010.20/3,846.86
  6. Step 6: Final answer
    x = 2,961.12

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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.