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Finding the Fourth Proportional to 6,661.06, 9,984.82 and 4,322.54

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Solution

The fourth proportional to 6,661.06, 9,984.82 and 4,322.54 is: 6,479.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,661.06 : 9,984.82 = 4,322.54 : x
  2. Step 2: Convert to fraction form
    6,661.06/9,984.82 = 4,322.54/x
  3. Step 3: Cross multiply
    6,661.06x = 9,984.82 × 4,322.54
  4. Step 4: Simplify right side
    6,661.06x = 43,159,783.84
  5. Step 5: Solve for x
    x = 43,159,783.84/6,661.06
  6. Step 6: Final answer
    x = 6,479.42

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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.