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Finding the Fourth Proportional to 6,425.35, 9,641.16 and 2,917.64

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Solution

The fourth proportional to 6,425.35, 9,641.16 and 2,917.64 is: 4,377.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,425.35 : 9,641.16 = 2,917.64 : x
  2. Step 2: Convert to fraction form
    6,425.35/9,641.16 = 2,917.64/x
  3. Step 3: Cross multiply
    6,425.35x = 9,641.16 × 2,917.64
  4. Step 4: Simplify right side
    6,425.35x = 28,129,458.17
  5. Step 5: Solve for x
    x = 28,129,458.17/6,425.35
  6. Step 6: Final answer
    x = 4,377.89

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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.