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Finding the Fourth Proportional to 2,969.93, 4,098.55 and 1,643.64

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Solution

The fourth proportional to 2,969.93, 4,098.55 and 1,643.64 is: 2,268.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.93 : 4,098.55 = 1,643.64 : x
  2. Step 2: Convert to fraction form
    2,969.93/4,098.55 = 1,643.64/x
  3. Step 3: Cross multiply
    2,969.93x = 4,098.55 × 1,643.64
  4. Step 4: Simplify right side
    2,969.93x = 6,736,540.72
  5. Step 5: Solve for x
    x = 6,736,540.72/2,969.93
  6. Step 6: Final answer
    x = 2,268.25

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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.