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Finding the Fourth Proportional to 2,969.94, 4,098.64 and 1,643.62

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Solution

The fourth proportional to 2,969.94, 4,098.64 and 1,643.62 is: 2,268.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.94 : 4,098.64 = 1,643.62 : x
  2. Step 2: Convert to fraction form
    2,969.94/4,098.64 = 1,643.62/x
  3. Step 3: Cross multiply
    2,969.94x = 4,098.64 × 1,643.62
  4. Step 4: Simplify right side
    2,969.94x = 6,736,606.68
  5. Step 5: Solve for x
    x = 6,736,606.68/2,969.94
  6. Step 6: Final answer
    x = 2,268.26

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1.5x scale

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.