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Finding the Fourth Proportional to 2,151.77, 2,969.24 and 1,480.19

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Solution

The fourth proportional to 2,151.77, 2,969.24 and 1,480.19 is: 2,042.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.77 : 2,969.24 = 1,480.19 : x
  2. Step 2: Convert to fraction form
    2,151.77/2,969.24 = 1,480.19/x
  3. Step 3: Cross multiply
    2,151.77x = 2,969.24 × 1,480.19
  4. Step 4: Simplify right side
    2,151.77x = 4,395,017.11
  5. Step 5: Solve for x
    x = 4,395,017.11/2,151.77
  6. Step 6: Final answer
    x = 2,042.52

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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.