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Finding the Fourth Proportional to 6,657.06, 9,978.82 and 4,318.54

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Solution

The fourth proportional to 6,657.06, 9,978.82 and 4,318.54 is: 6,473.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,657.06 : 9,978.82 = 4,318.54 : x
  2. Step 2: Convert to fraction form
    6,657.06/9,978.82 = 4,318.54/x
  3. Step 3: Cross multiply
    6,657.06x = 9,978.82 × 4,318.54
  4. Step 4: Simplify right side
    6,657.06x = 43,093,933.32
  5. Step 5: Solve for x
    x = 43,093,933.32/6,657.06
  6. Step 6: Final answer
    x = 6,473.42

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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.