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Finding the Fourth Proportional to 6,464.36, 8,918.16 and 4,105.64

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Solution

The fourth proportional to 6,464.36, 8,918.16 and 4,105.64 is: 5,664.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.36 : 8,918.16 = 4,105.64 : x
  2. Step 2: Convert to fraction form
    6,464.36/8,918.16 = 4,105.64/x
  3. Step 3: Cross multiply
    6,464.36x = 8,918.16 × 4,105.64
  4. Step 4: Simplify right side
    6,464.36x = 36,614,754.42
  5. Step 5: Solve for x
    x = 36,614,754.42/6,464.36
  6. Step 6: Final answer
    x = 5,664.10

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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.