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Finding the Fourth Proportional to 6,657.73, 9,978.82 and 5,008.98

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Solution

The fourth proportional to 6,657.73, 9,978.82 and 5,008.98 is: 7,507.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,657.73 : 9,978.82 = 5,008.98 : x
  2. Step 2: Convert to fraction form
    6,657.73/9,978.82 = 5,008.98/x
  3. Step 3: Cross multiply
    6,657.73x = 9,978.82 × 5,008.98
  4. Step 4: Simplify right side
    6,657.73x = 49,983,709.80
  5. Step 5: Solve for x
    x = 49,983,709.80/6,657.73
  6. Step 6: Final answer
    x = 7,507.62

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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.