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Finding the Fourth Proportional to 1,949.77, 2,690.50 and 1,110.25

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Solution

The fourth proportional to 1,949.77, 2,690.50 and 1,110.25 is: 1,532.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949.77 : 2,690.50 = 1,110.25 : x
  2. Step 2: Convert to fraction form
    1,949.77/2,690.50 = 1,110.25/x
  3. Step 3: Cross multiply
    1,949.77x = 2,690.50 × 1,110.25
  4. Step 4: Simplify right side
    1,949.77x = 2,987,111.40
  5. Step 5: Solve for x
    x = 2,987,111.40/1,949.77
  6. Step 6: Final answer
    x = 1,532.04

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