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Finding the Fourth Proportional to 2,102.43, 3,154.20 and 1,048.56

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Solution

The fourth proportional to 2,102.43, 3,154.20 and 1,048.56 is: 1,573.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.43 : 3,154.20 = 1,048.56 : x
  2. Step 2: Convert to fraction form
    2,102.43/3,154.20 = 1,048.56/x
  3. Step 3: Cross multiply
    2,102.43x = 3,154.20 × 1,048.56
  4. Step 4: Simplify right side
    2,102.43x = 3,307,361.04
  5. Step 5: Solve for x
    x = 3,307,361.04/2,102.43
  6. Step 6: Final answer
    x = 1,573.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.