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Finding the Fourth Proportional to 1,996, 2,754.40 and 1,111.76

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Solution

The fourth proportional to 1,996, 2,754.40 and 1,111.76 is: 1,534.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996 : 2,754.40 = 1,111.76 : x
  2. Step 2: Convert to fraction form
    1,996/2,754.40 = 1,111.76/x
  3. Step 3: Cross multiply
    1,996x = 2,754.40 × 1,111.76
  4. Step 4: Simplify right side
    1,996x = 3,062,231.74
  5. Step 5: Solve for x
    x = 3,062,231.74/1,996
  6. Step 6: Final answer
    x = 1,534.18

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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.