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Finding the Fourth Proportional to 6,297, 9,445.89 and 1,914.78

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Solution

The fourth proportional to 6,297, 9,445.89 and 1,914.78 is: 2,872.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297 : 9,445.89 = 1,914.78 : x
  2. Step 2: Convert to fraction form
    6,297/9,445.89 = 1,914.78/x
  3. Step 3: Cross multiply
    6,297x = 9,445.89 × 1,914.78
  4. Step 4: Simplify right side
    6,297x = 18,086,801.25
  5. Step 5: Solve for x
    x = 18,086,801.25/6,297
  6. Step 6: Final answer
    x = 2,872.29

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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.