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Finding the Fourth Proportional to 2,885.76, 3,982.06 and 1,767.02

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Solution

The fourth proportional to 2,885.76, 3,982.06 and 1,767.02 is: 2,438.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,885.76 : 3,982.06 = 1,767.02 : x
  2. Step 2: Convert to fraction form
    2,885.76/3,982.06 = 1,767.02/x
  3. Step 3: Cross multiply
    2,885.76x = 3,982.06 × 1,767.02
  4. Step 4: Simplify right side
    2,885.76x = 7,036,361.96
  5. Step 5: Solve for x
    x = 7,036,361.96/2,885.76
  6. Step 6: Final answer
    x = 2,438.30

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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.