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Finding the Fourth Proportional to 9,980.21, 13,775.57 and 6,996.78

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Solution

The fourth proportional to 9,980.21, 13,775.57 and 6,996.78 is: 9,657.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,980.21 : 13,775.57 = 6,996.78 : x
  2. Step 2: Convert to fraction form
    9,980.21/13,775.57 = 6,996.78/x
  3. Step 3: Cross multiply
    9,980.21x = 13,775.57 × 6,996.78
  4. Step 4: Simplify right side
    9,980.21x = 96,384,623.92
  5. Step 5: Solve for x
    x = 96,384,623.92/9,980.21
  6. Step 6: Final answer
    x = 9,657.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.