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Finding the Fourth Proportional to 2,969.32, 4,097.77 and 1,921.38

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Solution

The fourth proportional to 2,969.32, 4,097.77 and 1,921.38 is: 2,651.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.32 : 4,097.77 = 1,921.38 : x
  2. Step 2: Convert to fraction form
    2,969.32/4,097.77 = 1,921.38/x
  3. Step 3: Cross multiply
    2,969.32x = 4,097.77 × 1,921.38
  4. Step 4: Simplify right side
    2,969.32x = 7,873,368.52
  5. Step 5: Solve for x
    x = 7,873,368.52/2,969.32
  6. Step 6: Final answer
    x = 2,651.58

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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.