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Finding the Fourth Proportional to 6,381.72, 9,569.34 and 2,916

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Solution

The fourth proportional to 6,381.72, 9,569.34 and 2,916 is: 4,372.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381.72 : 9,569.34 = 2,916 : x
  2. Step 2: Convert to fraction form
    6,381.72/9,569.34 = 2,916/x
  3. Step 3: Cross multiply
    6,381.72x = 9,569.34 × 2,916
  4. Step 4: Simplify right side
    6,381.72x = 27,904,195.44
  5. Step 5: Solve for x
    x = 27,904,195.44/6,381.72
  6. Step 6: Final answer
    x = 4,372.52

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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.