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Finding the Fourth Proportional to 1,774, 2,448.47 and 1,028.12

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Solution

The fourth proportional to 1,774, 2,448.47 and 1,028.12 is: 1,419.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,774 : 2,448.47 = 1,028.12 : x
  2. Step 2: Convert to fraction form
    1,774/2,448.47 = 1,028.12/x
  3. Step 3: Cross multiply
    1,774x = 2,448.47 × 1,028.12
  4. Step 4: Simplify right side
    1,774x = 2,517,320.98
  5. Step 5: Solve for x
    x = 2,517,320.98/1,774
  6. Step 6: Final answer
    x = 1,419.01

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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.