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Finding the Fourth Proportional to 1,665.21, 2,298 and 919.14

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Solution

The fourth proportional to 1,665.21, 2,298 and 919.14 is: 1,268.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.21 : 2,298 = 919.14 : x
  2. Step 2: Convert to fraction form
    1,665.21/2,298 = 919.14/x
  3. Step 3: Cross multiply
    1,665.21x = 2,298 × 919.14
  4. Step 4: Simplify right side
    1,665.21x = 2,112,183.72
  5. Step 5: Solve for x
    x = 2,112,183.72/1,665.21
  6. Step 6: Final answer
    x = 1,268.42

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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.