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Finding the Fourth Proportional to 3,878.84, 5,817.22 and 2,646

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Solution

The fourth proportional to 3,878.84, 5,817.22 and 2,646 is: 3,968.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.84 : 5,817.22 = 2,646 : x
  2. Step 2: Convert to fraction form
    3,878.84/5,817.22 = 2,646/x
  3. Step 3: Cross multiply
    3,878.84x = 5,817.22 × 2,646
  4. Step 4: Simplify right side
    3,878.84x = 15,392,364.12
  5. Step 5: Solve for x
    x = 15,392,364.12/3,878.84
  6. Step 6: Final answer
    x = 3,968.29

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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.