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Finding the Fourth Proportional to 6,305.12, 8,699.84 and 4,208

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Solution

The fourth proportional to 6,305.12, 8,699.84 and 4,208 is: 5,806.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,305.12 : 8,699.84 = 4,208 : x
  2. Step 2: Convert to fraction form
    6,305.12/8,699.84 = 4,208/x
  3. Step 3: Cross multiply
    6,305.12x = 8,699.84 × 4,208
  4. Step 4: Simplify right side
    6,305.12x = 36,608,926.72
  5. Step 5: Solve for x
    x = 36,608,926.72/6,305.12
  6. Step 6: Final answer
    x = 5,806.22

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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.