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Finding the Fourth Proportional to 5,777.86, 7,969.17 and 3,682.66

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Solution

The fourth proportional to 5,777.86, 7,969.17 and 3,682.66 is: 5,079.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,777.86 : 7,969.17 = 3,682.66 : x
  2. Step 2: Convert to fraction form
    5,777.86/7,969.17 = 3,682.66/x
  3. Step 3: Cross multiply
    5,777.86x = 7,969.17 × 3,682.66
  4. Step 4: Simplify right side
    5,777.86x = 29,347,743.59
  5. Step 5: Solve for x
    x = 29,347,743.59/5,777.86
  6. Step 6: Final answer
    x = 5,079.34

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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.