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Finding the Fourth Proportional to 6,448.16, 8,896.86 and 4,089.44

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Solution

The fourth proportional to 6,448.16, 8,896.86 and 4,089.44 is: 5,642.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,448.16 : 8,896.86 = 4,089.44 : x
  2. Step 2: Convert to fraction form
    6,448.16/8,896.86 = 4,089.44/x
  3. Step 3: Cross multiply
    6,448.16x = 8,896.86 × 4,089.44
  4. Step 4: Simplify right side
    6,448.16x = 36,383,175.16
  5. Step 5: Solve for x
    x = 36,383,175.16/6,448.16
  6. Step 6: Final answer
    x = 5,642.41

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1.5x scale

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.