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Finding the Fourth Proportional to 20,448, 30,672 and 5,856

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Solution

The fourth proportional to 20,448, 30,672 and 5,856 is: 8,784

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,448 : 30,672 = 5,856 : x
  2. Step 2: Convert to fraction form
    20,448/30,672 = 5,856/x
  3. Step 3: Cross multiply
    20,448x = 30,672 × 5,856
  4. Step 4: Simplify right side
    20,448x = 179,615,232
  5. Step 5: Solve for x
    x = 179,615,232/20,448
  6. Step 6: Final answer
    x = 8,784

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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.