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Finding the Fourth Proportional to 6,313.09, 8,712.90 and 3,659.95

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Solution

The fourth proportional to 6,313.09, 8,712.90 and 3,659.95 is: 5,051.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,313.09 : 8,712.90 = 3,659.95 : x
  2. Step 2: Convert to fraction form
    6,313.09/8,712.90 = 3,659.95/x
  3. Step 3: Cross multiply
    6,313.09x = 8,712.90 × 3,659.95
  4. Step 4: Simplify right side
    6,313.09x = 31,888,778.36
  5. Step 5: Solve for x
    x = 31,888,778.36/6,313.09
  6. Step 6: Final answer
    x = 5,051.22

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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.