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Finding the Fourth Proportional to 1,851.81, 2,553.17 and 1,599.81

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Solution

The fourth proportional to 1,851.81, 2,553.17 and 1,599.81 is: 2,205.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,851.81 : 2,553.17 = 1,599.81 : x
  2. Step 2: Convert to fraction form
    1,851.81/2,553.17 = 1,599.81/x
  3. Step 3: Cross multiply
    1,851.81x = 2,553.17 × 1,599.81
  4. Step 4: Simplify right side
    1,851.81x = 4,084,586.90
  5. Step 5: Solve for x
    x = 4,084,586.90/1,851.81
  6. Step 6: Final answer
    x = 2,205.73

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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.