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Finding the Fourth Proportional to 2,290.07, 3,435.09 and 922.07

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Solution

The fourth proportional to 2,290.07, 3,435.09 and 922.07 is: 1,383.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.07 : 3,435.09 = 922.07 : x
  2. Step 2: Convert to fraction form
    2,290.07/3,435.09 = 922.07/x
  3. Step 3: Cross multiply
    2,290.07x = 3,435.09 × 922.07
  4. Step 4: Simplify right side
    2,290.07x = 3,167,393.44
  5. Step 5: Solve for x
    x = 3,167,393.44/2,290.07
  6. Step 6: Final answer
    x = 1,383.10

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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.