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Finding the Fourth Proportional to 6,969.56, 10,455.70 and 2,039.28

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Solution

The fourth proportional to 6,969.56, 10,455.70 and 2,039.28 is: 3,059.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,969.56 : 10,455.70 = 2,039.28 : x
  2. Step 2: Convert to fraction form
    6,969.56/10,455.70 = 2,039.28/x
  3. Step 3: Cross multiply
    6,969.56x = 10,455.70 × 2,039.28
  4. Step 4: Simplify right side
    6,969.56x = 21,322,099.90
  5. Step 5: Solve for x
    x = 21,322,099.90/6,969.56
  6. Step 6: Final answer
    x = 3,059.32

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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.