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Finding the Fourth Proportional to 6,394.56, 8,823.96 and 3,561.72

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Solution

The fourth proportional to 6,394.56, 8,823.96 and 3,561.72 is: 4,914.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,394.56 : 8,823.96 = 3,561.72 : x
  2. Step 2: Convert to fraction form
    6,394.56/8,823.96 = 3,561.72/x
  3. Step 3: Cross multiply
    6,394.56x = 8,823.96 × 3,561.72
  4. Step 4: Simplify right side
    6,394.56x = 31,428,474.81
  5. Step 5: Solve for x
    x = 31,428,474.81/6,394.56
  6. Step 6: Final answer
    x = 4,914.88

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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.