Home / 1,996.09-2,754.34-1,156.78

Finding the Fourth Proportional to 1,996.09, 2,754.34 and 1,156.78

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Solution

The fourth proportional to 1,996.09, 2,754.34 and 1,156.78 is: 1,596.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996.09 : 2,754.34 = 1,156.78 : x
  2. Step 2: Convert to fraction form
    1,996.09/2,754.34 = 1,156.78/x
  3. Step 3: Cross multiply
    1,996.09x = 2,754.34 × 1,156.78
  4. Step 4: Simplify right side
    1,996.09x = 3,186,168.32
  5. Step 5: Solve for x
    x = 3,186,168.32/1,996.09
  6. Step 6: Final answer
    x = 1,596.21

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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.