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Finding the Fourth Proportional to 22,258.63, 30,715.73 and 12,185.14

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Solution

The fourth proportional to 22,258.63, 30,715.73 and 12,185.14 is: 16,814.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,258.63 : 30,715.73 = 12,185.14 : x
  2. Step 2: Convert to fraction form
    22,258.63/30,715.73 = 12,185.14/x
  3. Step 3: Cross multiply
    22,258.63x = 30,715.73 × 12,185.14
  4. Step 4: Simplify right side
    22,258.63x = 374,275,423.93
  5. Step 5: Solve for x
    x = 374,275,423.93/22,258.63
  6. Step 6: Final answer
    x = 16,814.85

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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.