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Finding the Fourth Proportional to 12,235.29, 16,884.39 and 7,199.82

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Solution

The fourth proportional to 12,235.29, 16,884.39 and 7,199.82 is: 9,935.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,235.29 : 16,884.39 = 7,199.82 : x
  2. Step 2: Convert to fraction form
    12,235.29/16,884.39 = 7,199.82/x
  3. Step 3: Cross multiply
    12,235.29x = 16,884.39 × 7,199.82
  4. Step 4: Simplify right side
    12,235.29x = 121,564,568.81
  5. Step 5: Solve for x
    x = 121,564,568.81/12,235.29
  6. Step 6: Final answer
    x = 9,935.57

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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.