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Finding the Fourth Proportional to 7,808.31, 10,774.80 and 4,450.59

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Solution

The fourth proportional to 7,808.31, 10,774.80 and 4,450.59 is: 6,141.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.31 : 10,774.80 = 4,450.59 : x
  2. Step 2: Convert to fraction form
    7,808.31/10,774.80 = 4,450.59/x
  3. Step 3: Cross multiply
    7,808.31x = 10,774.80 × 4,450.59
  4. Step 4: Simplify right side
    7,808.31x = 47,954,217.13
  5. Step 5: Solve for x
    x = 47,954,217.13/7,808.31
  6. Step 6: Final answer
    x = 6,141.43

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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.