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Finding the Fourth Proportional to 3,905.78, 5,858.66 and 1,957.52

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Solution

The fourth proportional to 3,905.78, 5,858.66 and 1,957.52 is: 2,936.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,905.78 : 5,858.66 = 1,957.52 : x
  2. Step 2: Convert to fraction form
    3,905.78/5,858.66 = 1,957.52/x
  3. Step 3: Cross multiply
    3,905.78x = 5,858.66 × 1,957.52
  4. Step 4: Simplify right side
    3,905.78x = 11,468,463.66
  5. Step 5: Solve for x
    x = 11,468,463.66/3,905.78
  6. Step 6: Final answer
    x = 2,936.28

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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.