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Finding the Fourth Proportional to 12,724.22, 17,555.77 and 7,346.23

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Solution

The fourth proportional to 12,724.22, 17,555.77 and 7,346.23 is: 10,135.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,724.22 : 17,555.77 = 7,346.23 : x
  2. Step 2: Convert to fraction form
    12,724.22/17,555.77 = 7,346.23/x
  3. Step 3: Cross multiply
    12,724.22x = 17,555.77 × 7,346.23
  4. Step 4: Simplify right side
    12,724.22x = 128,968,689.54
  5. Step 5: Solve for x
    x = 128,968,689.54/12,724.22
  6. Step 6: Final answer
    x = 10,135.68

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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.