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Finding the Fourth Proportional to 3,957.63, 5,462.26 and 2,543.09

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Solution

The fourth proportional to 3,957.63, 5,462.26 and 2,543.09 is: 3,509.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,957.63 : 5,462.26 = 2,543.09 : x
  2. Step 2: Convert to fraction form
    3,957.63/5,462.26 = 2,543.09/x
  3. Step 3: Cross multiply
    3,957.63x = 5,462.26 × 2,543.09
  4. Step 4: Simplify right side
    3,957.63x = 13,890,991.47
  5. Step 5: Solve for x
    x = 13,890,991.47/3,957.63
  6. Step 6: Final answer
    x = 3,509.93

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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.