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Finding the Fourth Proportional to 3,864, 5,792.94 and 1,915.68

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Solution

The fourth proportional to 3,864, 5,792.94 and 1,915.68 is: 2,872.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,864 : 5,792.94 = 1,915.68 : x
  2. Step 2: Convert to fraction form
    3,864/5,792.94 = 1,915.68/x
  3. Step 3: Cross multiply
    3,864x = 5,792.94 × 1,915.68
  4. Step 4: Simplify right side
    3,864x = 11,097,419.30
  5. Step 5: Solve for x
    x = 11,097,419.30/3,864
  6. Step 6: Final answer
    x = 2,872.00

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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.