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Finding the Fourth Proportional to 3,864.56, 5,797.56 and 1,267.28

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Solution

The fourth proportional to 3,864.56, 5,797.56 and 1,267.28 is: 1,901.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,864.56 : 5,797.56 = 1,267.28 : x
  2. Step 2: Convert to fraction form
    3,864.56/5,797.56 = 1,267.28/x
  3. Step 3: Cross multiply
    3,864.56x = 5,797.56 × 1,267.28
  4. Step 4: Simplify right side
    3,864.56x = 7,347,131.84
  5. Step 5: Solve for x
    x = 7,347,131.84/3,864.56
  6. Step 6: Final answer
    x = 1,901.16

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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.