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Finding the Fourth Proportional to 6,458.72, 9,669.80 and 4,112.88

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Solution

The fourth proportional to 6,458.72, 9,669.80 and 4,112.88 is: 6,157.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458.72 : 9,669.80 = 4,112.88 : x
  2. Step 2: Convert to fraction form
    6,458.72/9,669.80 = 4,112.88/x
  3. Step 3: Cross multiply
    6,458.72x = 9,669.80 × 4,112.88
  4. Step 4: Simplify right side
    6,458.72x = 39,770,727.02
  5. Step 5: Solve for x
    x = 39,770,727.02/6,458.72
  6. Step 6: Final answer
    x = 6,157.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.