Home / 2,969.64-4,097.75-1,643.27

Finding the Fourth Proportional to 2,969.64, 4,097.75 and 1,643.27

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Solution

The fourth proportional to 2,969.64, 4,097.75 and 1,643.27 is: 2,267.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.64 : 4,097.75 = 1,643.27 : x
  2. Step 2: Convert to fraction form
    2,969.64/4,097.75 = 1,643.27/x
  3. Step 3: Cross multiply
    2,969.64x = 4,097.75 × 1,643.27
  4. Step 4: Simplify right side
    2,969.64x = 6,733,680.94
  5. Step 5: Solve for x
    x = 6,733,680.94/2,969.64
  6. Step 6: Final answer
    x = 2,267.51

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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.