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Finding the Fourth Proportional to 15,448, 21,319.68 and 8,824

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Solution

The fourth proportional to 15,448, 21,319.68 and 8,824 is: 12,177.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,448 : 21,319.68 = 8,824 : x
  2. Step 2: Convert to fraction form
    15,448/21,319.68 = 8,824/x
  3. Step 3: Cross multiply
    15,448x = 21,319.68 × 8,824
  4. Step 4: Simplify right side
    15,448x = 188,124,856.32
  5. Step 5: Solve for x
    x = 188,124,856.32/15,448
  6. Step 6: Final answer
    x = 12,177.94

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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.