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Finding the Fourth Proportional to 16,072.83, 22,178.55 and 8,902.20

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Solution

The fourth proportional to 16,072.83, 22,178.55 and 8,902.20 is: 12,283.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,072.83 : 22,178.55 = 8,902.20 : x
  2. Step 2: Convert to fraction form
    16,072.83/22,178.55 = 8,902.20/x
  3. Step 3: Cross multiply
    16,072.83x = 22,178.55 × 8,902.20
  4. Step 4: Simplify right side
    16,072.83x = 197,437,887.81
  5. Step 5: Solve for x
    x = 197,437,887.81/16,072.83
  6. Step 6: Final answer
    x = 12,283.95

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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.