Home / 2,969.29-4,097.69-1,643.09

Finding the Fourth Proportional to 2,969.29, 4,097.69 and 1,643.09

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Solution

The fourth proportional to 2,969.29, 4,097.69 and 1,643.09 is: 2,267.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.29 : 4,097.69 = 1,643.09 : x
  2. Step 2: Convert to fraction form
    2,969.29/4,097.69 = 1,643.09/x
  3. Step 3: Cross multiply
    2,969.29x = 4,097.69 × 1,643.09
  4. Step 4: Simplify right side
    2,969.29x = 6,732,844.76
  5. Step 5: Solve for x
    x = 6,732,844.76/2,969.29
  6. Step 6: Final answer
    x = 2,267.49

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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.