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Finding the Fourth Proportional to 17,639.28, 26,470.44 and 8,406

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Solution

The fourth proportional to 17,639.28, 26,470.44 and 8,406 is: 12,614.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,639.28 : 26,470.44 = 8,406 : x
  2. Step 2: Convert to fraction form
    17,639.28/26,470.44 = 8,406/x
  3. Step 3: Cross multiply
    17,639.28x = 26,470.44 × 8,406
  4. Step 4: Simplify right side
    17,639.28x = 222,510,518.64
  5. Step 5: Solve for x
    x = 222,510,518.64/17,639.28
  6. Step 6: Final answer
    x = 12,614.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.