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Finding the Fourth Proportional to 2,894.41, 3,991.44 and 1,899.28

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Solution

The fourth proportional to 2,894.41, 3,991.44 and 1,899.28 is: 2,619.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.41 : 3,991.44 = 1,899.28 : x
  2. Step 2: Convert to fraction form
    2,894.41/3,991.44 = 1,899.28/x
  3. Step 3: Cross multiply
    2,894.41x = 3,991.44 × 1,899.28
  4. Step 4: Simplify right side
    2,894.41x = 7,580,862.16
  5. Step 5: Solve for x
    x = 7,580,862.16/2,894.41
  6. Step 6: Final answer
    x = 2,619.14

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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.