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Finding the Fourth Proportional to 2,729.70, 3,765.15 and 1,844.10

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Solution

The fourth proportional to 2,729.70, 3,765.15 and 1,844.10 is: 2,543.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729.70 : 3,765.15 = 1,844.10 : x
  2. Step 2: Convert to fraction form
    2,729.70/3,765.15 = 1,844.10/x
  3. Step 3: Cross multiply
    2,729.70x = 3,765.15 × 1,844.10
  4. Step 4: Simplify right side
    2,729.70x = 6,943,313.12
  5. Step 5: Solve for x
    x = 6,943,313.12/2,729.70
  6. Step 6: Final answer
    x = 2,543.62

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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.