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Finding the Fourth Proportional to 2,980.79, 4,115.67 and 2,097.79

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Solution

The fourth proportional to 2,980.79, 4,115.67 and 2,097.79 is: 2,896.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.79 : 4,115.67 = 2,097.79 : x
  2. Step 2: Convert to fraction form
    2,980.79/4,115.67 = 2,097.79/x
  3. Step 3: Cross multiply
    2,980.79x = 4,115.67 × 2,097.79
  4. Step 4: Simplify right side
    2,980.79x = 8,633,811.37
  5. Step 5: Solve for x
    x = 8,633,811.37/2,980.79
  6. Step 6: Final answer
    x = 2,896.48

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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.