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Finding the Fourth Proportional to 6,316.32, 8,720.28 and 4,194.84

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Solution

The fourth proportional to 6,316.32, 8,720.28 and 4,194.84 is: 5,791.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,316.32 : 8,720.28 = 4,194.84 : x
  2. Step 2: Convert to fraction form
    6,316.32/8,720.28 = 4,194.84/x
  3. Step 3: Cross multiply
    6,316.32x = 8,720.28 × 4,194.84
  4. Step 4: Simplify right side
    6,316.32x = 36,580,179.36
  5. Step 5: Solve for x
    x = 36,580,179.36/6,316.32
  6. Step 6: Final answer
    x = 5,791.38

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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.