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Finding the Fourth Proportional to 7,100.82, 9,792.77 and 4,448.52

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Solution

The fourth proportional to 7,100.82, 9,792.77 and 4,448.52 is: 6,134.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,100.82 : 9,792.77 = 4,448.52 : x
  2. Step 2: Convert to fraction form
    7,100.82/9,792.77 = 4,448.52/x
  3. Step 3: Cross multiply
    7,100.82x = 9,792.77 × 4,448.52
  4. Step 4: Simplify right side
    7,100.82x = 43,563,310.96
  5. Step 5: Solve for x
    x = 43,563,310.96/7,100.82
  6. Step 6: Final answer
    x = 6,134.97

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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.