Home / 2,969.40-4,097.80-1,643.08

Finding the Fourth Proportional to 2,969.40, 4,097.80 and 1,643.08

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Solution

The fourth proportional to 2,969.40, 4,097.80 and 1,643.08 is: 2,267.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.40 : 4,097.80 = 1,643.08 : x
  2. Step 2: Convert to fraction form
    2,969.40/4,097.80 = 1,643.08/x
  3. Step 3: Cross multiply
    2,969.40x = 4,097.80 × 1,643.08
  4. Step 4: Simplify right side
    2,969.40x = 6,733,013.22
  5. Step 5: Solve for x
    x = 6,733,013.22/2,969.40
  6. Step 6: Final answer
    x = 2,267.47

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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.