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Finding the Fourth Proportional to 6,664.49, 9,993.81 and 3,543.74

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Solution

The fourth proportional to 6,664.49, 9,993.81 and 3,543.74 is: 5,314.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,664.49 : 9,993.81 = 3,543.74 : x
  2. Step 2: Convert to fraction form
    6,664.49/9,993.81 = 3,543.74/x
  3. Step 3: Cross multiply
    6,664.49x = 9,993.81 × 3,543.74
  4. Step 4: Simplify right side
    6,664.49x = 35,415,464.25
  5. Step 5: Solve for x
    x = 35,415,464.25/6,664.49
  6. Step 6: Final answer
    x = 5,314.05

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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.