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Finding the Fourth Proportional to 2,009.97, 2,773.62 and 1,125.78

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Solution

The fourth proportional to 2,009.97, 2,773.62 and 1,125.78 is: 1,553.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.97 : 2,773.62 = 1,125.78 : x
  2. Step 2: Convert to fraction form
    2,009.97/2,773.62 = 1,125.78/x
  3. Step 3: Cross multiply
    2,009.97x = 2,773.62 × 1,125.78
  4. Step 4: Simplify right side
    2,009.97x = 3,122,485.92
  5. Step 5: Solve for x
    x = 3,122,485.92/2,009.97
  6. Step 6: Final answer
    x = 1,553.50

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1.5x scale

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.