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Finding the Fourth Proportional to 2,138.10, 2,950.62 and 1,181.00

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Solution

The fourth proportional to 2,138.10, 2,950.62 and 1,181.00 is: 1,629.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.10 : 2,950.62 = 1,181.00 : x
  2. Step 2: Convert to fraction form
    2,138.10/2,950.62 = 1,181.00/x
  3. Step 3: Cross multiply
    2,138.10x = 2,950.62 × 1,181.00
  4. Step 4: Simplify right side
    2,138.10x = 3,484,685.17
  5. Step 5: Solve for x
    x = 3,484,685.17/2,138.10
  6. Step 6: Final answer
    x = 1,629.81

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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.