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Finding the Fourth Proportional to 2,969.98, 4,098.42 and 1,643.77

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Solution

The fourth proportional to 2,969.98, 4,098.42 and 1,643.77 is: 2,268.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.98 : 4,098.42 = 1,643.77 : x
  2. Step 2: Convert to fraction form
    2,969.98/4,098.42 = 1,643.77/x
  3. Step 3: Cross multiply
    2,969.98x = 4,098.42 × 1,643.77
  4. Step 4: Simplify right side
    2,969.98x = 6,736,864.97
  5. Step 5: Solve for x
    x = 6,736,864.97/2,969.98
  6. Step 6: Final answer
    x = 2,268.32

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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.