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Finding the Fourth Proportional to 3,233.75, 4,851.30 and 1,042.70

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Solution

The fourth proportional to 3,233.75, 4,851.30 and 1,042.70 is: 1,564.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,233.75 : 4,851.30 = 1,042.70 : x
  2. Step 2: Convert to fraction form
    3,233.75/4,851.30 = 1,042.70/x
  3. Step 3: Cross multiply
    3,233.75x = 4,851.30 × 1,042.70
  4. Step 4: Simplify right side
    3,233.75x = 5,058,450.51
  5. Step 5: Solve for x
    x = 5,058,450.51/3,233.75
  6. Step 6: Final answer
    x = 1,564.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.