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Finding the Fourth Proportional to 6,490.36, 9,735 and 3,202.12

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Solution

The fourth proportional to 6,490.36, 9,735 and 3,202.12 is: 4,802.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,490.36 : 9,735 = 3,202.12 : x
  2. Step 2: Convert to fraction form
    6,490.36/9,735 = 3,202.12/x
  3. Step 3: Cross multiply
    6,490.36x = 9,735 × 3,202.12
  4. Step 4: Simplify right side
    6,490.36x = 31,172,638.20
  5. Step 5: Solve for x
    x = 31,172,638.20/6,490.36
  6. Step 6: Final answer
    x = 4,802.91

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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.