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Finding the Fourth Proportional to 6,287.92, 9,428.65 and 3,327.98

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Solution

The fourth proportional to 6,287.92, 9,428.65 and 3,327.98 is: 4,990.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,287.92 : 9,428.65 = 3,327.98 : x
  2. Step 2: Convert to fraction form
    6,287.92/9,428.65 = 3,327.98/x
  3. Step 3: Cross multiply
    6,287.92x = 9,428.65 × 3,327.98
  4. Step 4: Simplify right side
    6,287.92x = 31,378,303.16
  5. Step 5: Solve for x
    x = 31,378,303.16/6,287.92
  6. Step 6: Final answer
    x = 4,990.25

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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.