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Finding the Fourth Proportional to 2,003.70, 2,765.09 and 1,107.50

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Solution

The fourth proportional to 2,003.70, 2,765.09 and 1,107.50 is: 1,528.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.70 : 2,765.09 = 1,107.50 : x
  2. Step 2: Convert to fraction form
    2,003.70/2,765.09 = 1,107.50/x
  3. Step 3: Cross multiply
    2,003.70x = 2,765.09 × 1,107.50
  4. Step 4: Simplify right side
    2,003.70x = 3,062,317.81
  5. Step 5: Solve for x
    x = 3,062,317.81/2,003.70
  6. Step 6: Final answer
    x = 1,528.33

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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.