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Finding the Fourth Proportional to 2,290.88, 3,161.36 and 1,296

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Solution

The fourth proportional to 2,290.88, 3,161.36 and 1,296 is: 1,788.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.88 : 3,161.36 = 1,296 : x
  2. Step 2: Convert to fraction form
    2,290.88/3,161.36 = 1,296/x
  3. Step 3: Cross multiply
    2,290.88x = 3,161.36 × 1,296
  4. Step 4: Simplify right side
    2,290.88x = 4,097,122.56
  5. Step 5: Solve for x
    x = 4,097,122.56/2,290.88
  6. Step 6: Final answer
    x = 1,788.45

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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.