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Finding the Fourth Proportional to 3,203.10, 4,806.66 and 1,354.28

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Solution

The fourth proportional to 3,203.10, 4,806.66 and 1,354.28 is: 2,032.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.10 : 4,806.66 = 1,354.28 : x
  2. Step 2: Convert to fraction form
    3,203.10/4,806.66 = 1,354.28/x
  3. Step 3: Cross multiply
    3,203.10x = 4,806.66 × 1,354.28
  4. Step 4: Simplify right side
    3,203.10x = 6,509,563.50
  5. Step 5: Solve for x
    x = 6,509,563.50/3,203.10
  6. Step 6: Final answer
    x = 2,032.27

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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.