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Finding the Fourth Proportional to 3,957.21, 5,938.07 and 1,491.93

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Solution

The fourth proportional to 3,957.21, 5,938.07 and 1,491.93 is: 2,238.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,957.21 : 5,938.07 = 1,491.93 : x
  2. Step 2: Convert to fraction form
    3,957.21/5,938.07 = 1,491.93/x
  3. Step 3: Cross multiply
    3,957.21x = 5,938.07 × 1,491.93
  4. Step 4: Simplify right side
    3,957.21x = 8,859,177.32
  5. Step 5: Solve for x
    x = 8,859,177.32/3,957.21
  6. Step 6: Final answer
    x = 2,238.74

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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.