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Finding the Fourth Proportional to 7,448.97, 11,178.16 and 4,164.22

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Solution

The fourth proportional to 7,448.97, 11,178.16 and 4,164.22 is: 6,248.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,448.97 : 11,178.16 = 4,164.22 : x
  2. Step 2: Convert to fraction form
    7,448.97/11,178.16 = 4,164.22/x
  3. Step 3: Cross multiply
    7,448.97x = 11,178.16 × 4,164.22
  4. Step 4: Simplify right side
    7,448.97x = 46,548,317.44
  5. Step 5: Solve for x
    x = 46,548,317.44/7,448.97
  6. Step 6: Final answer
    x = 6,248.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.