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Finding the Fourth Proportional to 6,448, 8,898.24 and 3,653.68

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Solution

The fourth proportional to 6,448, 8,898.24 and 3,653.68 is: 5,042.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,448 : 8,898.24 = 3,653.68 : x
  2. Step 2: Convert to fraction form
    6,448/8,898.24 = 3,653.68/x
  3. Step 3: Cross multiply
    6,448x = 8,898.24 × 3,653.68
  4. Step 4: Simplify right side
    6,448x = 32,511,321.52
  5. Step 5: Solve for x
    x = 32,511,321.52/6,448
  6. Step 6: Final answer
    x = 5,042.08

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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.