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Finding the Fourth Proportional to 6,435.54, 9,664.20 and 3,519.54

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Solution

The fourth proportional to 6,435.54, 9,664.20 and 3,519.54 is: 5,285.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,435.54 : 9,664.20 = 3,519.54 : x
  2. Step 2: Convert to fraction form
    6,435.54/9,664.20 = 3,519.54/x
  3. Step 3: Cross multiply
    6,435.54x = 9,664.20 × 3,519.54
  4. Step 4: Simplify right side
    6,435.54x = 34,013,538.47
  5. Step 5: Solve for x
    x = 34,013,538.47/6,435.54
  6. Step 6: Final answer
    x = 5,285.27

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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.