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Finding the Fourth Proportional to 10,629.25, 14,662.25 and 6,643.44

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Solution

The fourth proportional to 10,629.25, 14,662.25 and 6,643.44 is: 9,164.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,629.25 : 14,662.25 = 6,643.44 : x
  2. Step 2: Convert to fraction form
    10,629.25/14,662.25 = 6,643.44/x
  3. Step 3: Cross multiply
    10,629.25x = 14,662.25 × 6,643.44
  4. Step 4: Simplify right side
    10,629.25x = 97,407,778.14
  5. Step 5: Solve for x
    x = 97,407,778.14/10,629.25
  6. Step 6: Final answer
    x = 9,164.13

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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.