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Finding the Fourth Proportional to 3,725.86, 5,141.64 and 2,153.92

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Solution

The fourth proportional to 3,725.86, 5,141.64 and 2,153.92 is: 2,972.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,725.86 : 5,141.64 = 2,153.92 : x
  2. Step 2: Convert to fraction form
    3,725.86/5,141.64 = 2,153.92/x
  3. Step 3: Cross multiply
    3,725.86x = 5,141.64 × 2,153.92
  4. Step 4: Simplify right side
    3,725.86x = 11,074,681.23
  5. Step 5: Solve for x
    x = 11,074,681.23/3,725.86
  6. Step 6: Final answer
    x = 2,972.38

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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.