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Finding the Fourth Proportional to 7,807.96, 10,774.22 and 4,450.68

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Solution

The fourth proportional to 7,807.96, 10,774.22 and 4,450.68 is: 6,141.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.96 : 10,774.22 = 4,450.68 : x
  2. Step 2: Convert to fraction form
    7,807.96/10,774.22 = 4,450.68/x
  3. Step 3: Cross multiply
    7,807.96x = 10,774.22 × 4,450.68
  4. Step 4: Simplify right side
    7,807.96x = 47,952,605.47
  5. Step 5: Solve for x
    x = 47,952,605.47/7,807.96
  6. Step 6: Final answer
    x = 6,141.50

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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.