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Finding the Fourth Proportional to 6,917.78, 10,368.03 and 3,456.02

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Solution

The fourth proportional to 6,917.78, 10,368.03 and 3,456.02 is: 5,179.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,917.78 : 10,368.03 = 3,456.02 : x
  2. Step 2: Convert to fraction form
    6,917.78/10,368.03 = 3,456.02/x
  3. Step 3: Cross multiply
    6,917.78x = 10,368.03 × 3,456.02
  4. Step 4: Simplify right side
    6,917.78x = 35,832,119.04
  5. Step 5: Solve for x
    x = 35,832,119.04/6,917.78
  6. Step 6: Final answer
    x = 5,179.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.