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Finding the Fourth Proportional to 18,996, 26,214 and 10,612.56

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Solution

The fourth proportional to 18,996, 26,214 and 10,612.56 is: 14,645.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,996 : 26,214 = 10,612.56 : x
  2. Step 2: Convert to fraction form
    18,996/26,214 = 10,612.56/x
  3. Step 3: Cross multiply
    18,996x = 26,214 × 10,612.56
  4. Step 4: Simplify right side
    18,996x = 278,197,647.84
  5. Step 5: Solve for x
    x = 278,197,647.84/18,996
  6. Step 6: Final answer
    x = 14,645.06

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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.