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Finding the Fourth Proportional to 2,273.81, 3,410.71 and 1,300.19

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Solution

The fourth proportional to 2,273.81, 3,410.71 and 1,300.19 is: 1,950.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273.81 : 3,410.71 = 1,300.19 : x
  2. Step 2: Convert to fraction form
    2,273.81/3,410.71 = 1,300.19/x
  3. Step 3: Cross multiply
    2,273.81x = 3,410.71 × 1,300.19
  4. Step 4: Simplify right side
    2,273.81x = 4,434,550.73
  5. Step 5: Solve for x
    x = 4,434,550.73/2,273.81
  6. Step 6: Final answer
    x = 1,950.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.