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Finding the Fourth Proportional to 5,926.17, 8,181.63 and 3,940.86

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Solution

The fourth proportional to 5,926.17, 8,181.63 and 3,940.86 is: 5,440.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,926.17 : 8,181.63 = 3,940.86 : x
  2. Step 2: Convert to fraction form
    5,926.17/8,181.63 = 3,940.86/x
  3. Step 3: Cross multiply
    5,926.17x = 8,181.63 × 3,940.86
  4. Step 4: Simplify right side
    5,926.17x = 32,242,658.40
  5. Step 5: Solve for x
    x = 32,242,658.40/5,926.17
  6. Step 6: Final answer
    x = 5,440.72

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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.