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Finding the Fourth Proportional to 6,400.76, 8,832.74 and 3,568.44

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Solution

The fourth proportional to 6,400.76, 8,832.74 and 3,568.44 is: 4,924.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.76 : 8,832.74 = 3,568.44 : x
  2. Step 2: Convert to fraction form
    6,400.76/8,832.74 = 3,568.44/x
  3. Step 3: Cross multiply
    6,400.76x = 8,832.74 × 3,568.44
  4. Step 4: Simplify right side
    6,400.76x = 31,519,084.88
  5. Step 5: Solve for x
    x = 31,519,084.88/6,400.76
  6. Step 6: Final answer
    x = 4,924.28

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Half scale
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Double scale
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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.