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Finding the Fourth Proportional to 2,752.21, 4,128.50 and 804.25

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Solution

The fourth proportional to 2,752.21, 4,128.50 and 804.25 is: 1,206.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.21 : 4,128.50 = 804.25 : x
  2. Step 2: Convert to fraction form
    2,752.21/4,128.50 = 804.25/x
  3. Step 3: Cross multiply
    2,752.21x = 4,128.50 × 804.25
  4. Step 4: Simplify right side
    2,752.21x = 3,320,346.13
  5. Step 5: Solve for x
    x = 3,320,346.13/2,752.21
  6. Step 6: Final answer
    x = 1,206.43

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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.