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Finding the Fourth Proportional to 2,041, 2,816.82 and 1,213

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Solution

The fourth proportional to 2,041, 2,816.82 and 1,213 is: 1,674.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041 : 2,816.82 = 1,213 : x
  2. Step 2: Convert to fraction form
    2,041/2,816.82 = 1,213/x
  3. Step 3: Cross multiply
    2,041x = 2,816.82 × 1,213
  4. Step 4: Simplify right side
    2,041x = 3,416,802.66
  5. Step 5: Solve for x
    x = 3,416,802.66/2,041
  6. Step 6: Final answer
    x = 1,674.08

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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.