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Finding the Fourth Proportional to 6,646.01, 9,975.19 and 3,361.46

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Solution

The fourth proportional to 6,646.01, 9,975.19 and 3,361.46 is: 5,045.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.01 : 9,975.19 = 3,361.46 : x
  2. Step 2: Convert to fraction form
    6,646.01/9,975.19 = 3,361.46/x
  3. Step 3: Cross multiply
    6,646.01x = 9,975.19 × 3,361.46
  4. Step 4: Simplify right side
    6,646.01x = 33,531,202.18
  5. Step 5: Solve for x
    x = 33,531,202.18/6,646.01
  6. Step 6: Final answer
    x = 5,045.31

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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.