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Finding the Fourth Proportional to 6,940.50, 10,410.98 and 1,746.38

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Solution

The fourth proportional to 6,940.50, 10,410.98 and 1,746.38 is: 2,619.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,940.50 : 10,410.98 = 1,746.38 : x
  2. Step 2: Convert to fraction form
    6,940.50/10,410.98 = 1,746.38/x
  3. Step 3: Cross multiply
    6,940.50x = 10,410.98 × 1,746.38
  4. Step 4: Simplify right side
    6,940.50x = 18,181,466.47
  5. Step 5: Solve for x
    x = 18,181,466.47/6,940.50
  6. Step 6: Final answer
    x = 2,619.62

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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.