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Finding the Fourth Proportional to 6,449.98, 8,902.02 and 3,932.50

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Solution

The fourth proportional to 6,449.98, 8,902.02 and 3,932.50 is: 5,427.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,449.98 : 8,902.02 = 3,932.50 : x
  2. Step 2: Convert to fraction form
    6,449.98/8,902.02 = 3,932.50/x
  3. Step 3: Cross multiply
    6,449.98x = 8,902.02 × 3,932.50
  4. Step 4: Simplify right side
    6,449.98x = 35,007,193.65
  5. Step 5: Solve for x
    x = 35,007,193.65/6,449.98
  6. Step 6: Final answer
    x = 5,427.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.