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Finding the Fourth Proportional to 3,957.88, 5,461.66 and 2,165

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Solution

The fourth proportional to 3,957.88, 5,461.66 and 2,165 is: 2,987.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,957.88 : 5,461.66 = 2,165 : x
  2. Step 2: Convert to fraction form
    3,957.88/5,461.66 = 2,165/x
  3. Step 3: Cross multiply
    3,957.88x = 5,461.66 × 2,165
  4. Step 4: Simplify right side
    3,957.88x = 11,824,493.90
  5. Step 5: Solve for x
    x = 11,824,493.90/3,957.88
  6. Step 6: Final answer
    x = 2,987.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.