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Finding the Fourth Proportional to 2,539.44, 3,809.48 and 979.40

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Solution

The fourth proportional to 2,539.44, 3,809.48 and 979.40 is: 1,469.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,539.44 : 3,809.48 = 979.40 : x
  2. Step 2: Convert to fraction form
    2,539.44/3,809.48 = 979.40/x
  3. Step 3: Cross multiply
    2,539.44x = 3,809.48 × 979.40
  4. Step 4: Simplify right side
    2,539.44x = 3,731,004.71
  5. Step 5: Solve for x
    x = 3,731,004.71/2,539.44
  6. Step 6: Final answer
    x = 1,469.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.