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Finding the Fourth Proportional to 1,940.87, 2,678.41 and 1,056.68

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Solution

The fourth proportional to 1,940.87, 2,678.41 and 1,056.68 is: 1,458.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,940.87 : 2,678.41 = 1,056.68 : x
  2. Step 2: Convert to fraction form
    1,940.87/2,678.41 = 1,056.68/x
  3. Step 3: Cross multiply
    1,940.87x = 2,678.41 × 1,056.68
  4. Step 4: Simplify right side
    1,940.87x = 2,830,222.28
  5. Step 5: Solve for x
    x = 2,830,222.28/1,940.87
  6. Step 6: Final answer
    x = 1,458.22

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Why These Related Problems?

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