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Finding the Fourth Proportional to 6,464.63, 8,922.42 and 4,222.64

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Solution

The fourth proportional to 6,464.63, 8,922.42 and 4,222.64 is: 5,828.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.63 : 8,922.42 = 4,222.64 : x
  2. Step 2: Convert to fraction form
    6,464.63/8,922.42 = 4,222.64/x
  3. Step 3: Cross multiply
    6,464.63x = 8,922.42 × 4,222.64
  4. Step 4: Simplify right side
    6,464.63x = 37,676,122.98
  5. Step 5: Solve for x
    x = 37,676,122.98/6,464.63
  6. Step 6: Final answer
    x = 5,828.04

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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.