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Finding the Fourth Proportional to 2,009.88, 2,773.64 and 1,125.70

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Solution

The fourth proportional to 2,009.88, 2,773.64 and 1,125.70 is: 1,553.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.88 : 2,773.64 = 1,125.70 : x
  2. Step 2: Convert to fraction form
    2,009.88/2,773.64 = 1,125.70/x
  3. Step 3: Cross multiply
    2,009.88x = 2,773.64 × 1,125.70
  4. Step 4: Simplify right side
    2,009.88x = 3,122,286.55
  5. Step 5: Solve for x
    x = 3,122,286.55/2,009.88
  6. Step 6: Final answer
    x = 1,553.47

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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.