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Finding the Fourth Proportional to 18,892.02, 26,078.67 and 12,178.02

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Solution

The fourth proportional to 18,892.02, 26,078.67 and 12,178.02 is: 16,810.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,892.02 : 26,078.67 = 12,178.02 : x
  2. Step 2: Convert to fraction form
    18,892.02/26,078.67 = 12,178.02/x
  3. Step 3: Cross multiply
    18,892.02x = 26,078.67 × 12,178.02
  4. Step 4: Simplify right side
    18,892.02x = 317,586,564.83
  5. Step 5: Solve for x
    x = 317,586,564.83/18,892.02
  6. Step 6: Final answer
    x = 16,810.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.