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Finding the Fourth Proportional to 2,969, 4,097.25 and 1,642.79

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Solution

The fourth proportional to 2,969, 4,097.25 and 1,642.79 is: 2,267.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969 : 4,097.25 = 1,642.79 : x
  2. Step 2: Convert to fraction form
    2,969/4,097.25 = 1,642.79/x
  3. Step 3: Cross multiply
    2,969x = 4,097.25 × 1,642.79
  4. Step 4: Simplify right side
    2,969x = 6,730,921.33
  5. Step 5: Solve for x
    x = 6,730,921.33/2,969
  6. Step 6: Final answer
    x = 2,267.07

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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.