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Finding the Fourth Proportional to 1,736.09, 2,395.94 and 990.28

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Solution

The fourth proportional to 1,736.09, 2,395.94 and 990.28 is: 1,366.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736.09 : 2,395.94 = 990.28 : x
  2. Step 2: Convert to fraction form
    1,736.09/2,395.94 = 990.28/x
  3. Step 3: Cross multiply
    1,736.09x = 2,395.94 × 990.28
  4. Step 4: Simplify right side
    1,736.09x = 2,372,651.46
  5. Step 5: Solve for x
    x = 2,372,651.46/1,736.09
  6. Step 6: Final answer
    x = 1,366.66

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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.