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Finding the Fourth Proportional to 5,645.86, 7,786.46 and 3,407.26

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Solution

The fourth proportional to 5,645.86, 7,786.46 and 3,407.26 is: 4,699.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,645.86 : 7,786.46 = 3,407.26 : x
  2. Step 2: Convert to fraction form
    5,645.86/7,786.46 = 3,407.26/x
  3. Step 3: Cross multiply
    5,645.86x = 7,786.46 × 3,407.26
  4. Step 4: Simplify right side
    5,645.86x = 26,530,493.70
  5. Step 5: Solve for x
    x = 26,530,493.70/5,645.86
  6. Step 6: Final answer
    x = 4,699.11

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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.