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Finding the Fourth Proportional to 2,020.99, 2,791.54 and 1,546

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Solution

The fourth proportional to 2,020.99, 2,791.54 and 1,546 is: 2,135.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020.99 : 2,791.54 = 1,546 : x
  2. Step 2: Convert to fraction form
    2,020.99/2,791.54 = 1,546/x
  3. Step 3: Cross multiply
    2,020.99x = 2,791.54 × 1,546
  4. Step 4: Simplify right side
    2,020.99x = 4,315,720.84
  5. Step 5: Solve for x
    x = 4,315,720.84/2,020.99
  6. Step 6: Final answer
    x = 2,135.45

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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.