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Finding the Fourth Proportional to 3,971.28, 5,957.24 and 1,777.68

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Solution

The fourth proportional to 3,971.28, 5,957.24 and 1,777.68 is: 2,666.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971.28 : 5,957.24 = 1,777.68 : x
  2. Step 2: Convert to fraction form
    3,971.28/5,957.24 = 1,777.68/x
  3. Step 3: Cross multiply
    3,971.28x = 5,957.24 × 1,777.68
  4. Step 4: Simplify right side
    3,971.28x = 10,590,066.40
  5. Step 5: Solve for x
    x = 10,590,066.40/3,971.28
  6. Step 6: Final answer
    x = 2,666.66

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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.