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Finding the Fourth Proportional to 2,752, 4,128 and 804.22

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Solution

The fourth proportional to 2,752, 4,128 and 804.22 is: 1,206.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752 : 4,128 = 804.22 : x
  2. Step 2: Convert to fraction form
    2,752/4,128 = 804.22/x
  3. Step 3: Cross multiply
    2,752x = 4,128 × 804.22
  4. Step 4: Simplify right side
    2,752x = 3,319,820.16
  5. Step 5: Solve for x
    x = 3,319,820.16/2,752
  6. Step 6: Final answer
    x = 1,206.33

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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.