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Finding the Fourth Proportional to 2,011.18, 3,015.99 and 694.69

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Solution

The fourth proportional to 2,011.18, 3,015.99 and 694.69 is: 1,041.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.18 : 3,015.99 = 694.69 : x
  2. Step 2: Convert to fraction form
    2,011.18/3,015.99 = 694.69/x
  3. Step 3: Cross multiply
    2,011.18x = 3,015.99 × 694.69
  4. Step 4: Simplify right side
    2,011.18x = 2,095,178.09
  5. Step 5: Solve for x
    x = 2,095,178.09/2,011.18
  6. Step 6: Final answer
    x = 1,041.77

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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.