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Finding the Fourth Proportional to 12,055.96, 16,629.42 and 7,862.68

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Solution

The fourth proportional to 12,055.96, 16,629.42 and 7,862.68 is: 10,845.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,055.96 : 16,629.42 = 7,862.68 : x
  2. Step 2: Convert to fraction form
    12,055.96/16,629.42 = 7,862.68/x
  3. Step 3: Cross multiply
    12,055.96x = 16,629.42 × 7,862.68
  4. Step 4: Simplify right side
    12,055.96x = 130,751,808.05
  5. Step 5: Solve for x
    x = 130,751,808.05/12,055.96
  6. Step 6: Final answer
    x = 10,845.41

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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.