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Finding the Fourth Proportional to 2,015.74, 3,022.37 and 699.19

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Solution

The fourth proportional to 2,015.74, 3,022.37 and 699.19 is: 1,048.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.74 : 3,022.37 = 699.19 : x
  2. Step 2: Convert to fraction form
    2,015.74/3,022.37 = 699.19/x
  3. Step 3: Cross multiply
    2,015.74x = 3,022.37 × 699.19
  4. Step 4: Simplify right side
    2,015.74x = 2,113,210.88
  5. Step 5: Solve for x
    x = 2,113,210.88/2,015.74
  6. Step 6: Final answer
    x = 1,048.35

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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.