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Finding the Fourth Proportional to 3,957.23, 5,946.63 and 2,109.68

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Solution

The fourth proportional to 3,957.23, 5,946.63 and 2,109.68 is: 3,170.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,957.23 : 5,946.63 = 2,109.68 : x
  2. Step 2: Convert to fraction form
    3,957.23/5,946.63 = 2,109.68/x
  3. Step 3: Cross multiply
    3,957.23x = 5,946.63 × 2,109.68
  4. Step 4: Simplify right side
    3,957.23x = 12,545,486.38
  5. Step 5: Solve for x
    x = 12,545,486.38/3,957.23
  6. Step 6: Final answer
    x = 3,170.27

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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.