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Finding the Fourth Proportional to 6,808.86, 10,206 and 3,518.64

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Solution

The fourth proportional to 6,808.86, 10,206 and 3,518.64 is: 5,274.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,808.86 : 10,206 = 3,518.64 : x
  2. Step 2: Convert to fraction form
    6,808.86/10,206 = 3,518.64/x
  3. Step 3: Cross multiply
    6,808.86x = 10,206 × 3,518.64
  4. Step 4: Simplify right side
    6,808.86x = 35,911,239.84
  5. Step 5: Solve for x
    x = 35,911,239.84/6,808.86
  6. Step 6: Final answer
    x = 5,274.19

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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.