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Finding the Fourth Proportional to 6,989.88, 10,463.09 and 5,224.49

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Solution

The fourth proportional to 6,989.88, 10,463.09 and 5,224.49 is: 7,820.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,989.88 : 10,463.09 = 5,224.49 : x
  2. Step 2: Convert to fraction form
    6,989.88/10,463.09 = 5,224.49/x
  3. Step 3: Cross multiply
    6,989.88x = 10,463.09 × 5,224.49
  4. Step 4: Simplify right side
    6,989.88x = 54,664,230.64
  5. Step 5: Solve for x
    x = 54,664,230.64/6,989.88
  6. Step 6: Final answer
    x = 7,820.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.