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Finding the Fourth Proportional to 6,400.38, 8,832.42 and 3,567.69

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Solution

The fourth proportional to 6,400.38, 8,832.42 and 3,567.69 is: 4,923.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.38 : 8,832.42 = 3,567.69 : x
  2. Step 2: Convert to fraction form
    6,400.38/8,832.42 = 3,567.69/x
  3. Step 3: Cross multiply
    6,400.38x = 8,832.42 × 3,567.69
  4. Step 4: Simplify right side
    6,400.38x = 31,511,336.51
  5. Step 5: Solve for x
    x = 31,511,336.51/6,400.38
  6. Step 6: Final answer
    x = 4,923.35

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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.