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Finding the Fourth Proportional to 2,111.97, 2,911.42 and 1,480.59

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Solution

The fourth proportional to 2,111.97, 2,911.42 and 1,480.59 is: 2,041.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.97 : 2,911.42 = 1,480.59 : x
  2. Step 2: Convert to fraction form
    2,111.97/2,911.42 = 1,480.59/x
  3. Step 3: Cross multiply
    2,111.97x = 2,911.42 × 1,480.59
  4. Step 4: Simplify right side
    2,111.97x = 4,310,621.19
  5. Step 5: Solve for x
    x = 4,310,621.19/2,111.97
  6. Step 6: Final answer
    x = 2,041.04

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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.