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Finding the Fourth Proportional to 3,903.60, 5,857.26 and 1,957.17

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Solution

The fourth proportional to 3,903.60, 5,857.26 and 1,957.17 is: 2,936.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,903.60 : 5,857.26 = 1,957.17 : x
  2. Step 2: Convert to fraction form
    3,903.60/5,857.26 = 1,957.17/x
  3. Step 3: Cross multiply
    3,903.60x = 5,857.26 × 1,957.17
  4. Step 4: Simplify right side
    3,903.60x = 11,463,653.55
  5. Step 5: Solve for x
    x = 11,463,653.55/3,903.60
  6. Step 6: Final answer
    x = 2,936.69

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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.