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Finding the Fourth Proportional to 1,777.09, 2,661.99 and 1,696.90

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Solution

The fourth proportional to 1,777.09, 2,661.99 and 1,696.90 is: 2,541.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.09 : 2,661.99 = 1,696.90 : x
  2. Step 2: Convert to fraction form
    1,777.09/2,661.99 = 1,696.90/x
  3. Step 3: Cross multiply
    1,777.09x = 2,661.99 × 1,696.90
  4. Step 4: Simplify right side
    1,777.09x = 4,517,130.83
  5. Step 5: Solve for x
    x = 4,517,130.83/1,777.09
  6. Step 6: Final answer
    x = 2,541.87

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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.