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Finding the Fourth Proportional to 6,435.69, 9,654.95 and 3,663.66

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Solution

The fourth proportional to 6,435.69, 9,654.95 and 3,663.66 is: 5,496.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,435.69 : 9,654.95 = 3,663.66 : x
  2. Step 2: Convert to fraction form
    6,435.69/9,654.95 = 3,663.66/x
  3. Step 3: Cross multiply
    6,435.69x = 9,654.95 × 3,663.66
  4. Step 4: Simplify right side
    6,435.69x = 35,372,454.12
  5. Step 5: Solve for x
    x = 35,372,454.12/6,435.69
  6. Step 6: Final answer
    x = 5,496.30

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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.