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Finding the Fourth Proportional to 2,315.12, 3,474.03 and 855.29

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Solution

The fourth proportional to 2,315.12, 3,474.03 and 855.29 is: 1,283.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.12 : 3,474.03 = 855.29 : x
  2. Step 2: Convert to fraction form
    2,315.12/3,474.03 = 855.29/x
  3. Step 3: Cross multiply
    2,315.12x = 3,474.03 × 855.29
  4. Step 4: Simplify right side
    2,315.12x = 2,971,285.75
  5. Step 5: Solve for x
    x = 2,971,285.75/2,315.12
  6. Step 6: Final answer
    x = 1,283.43

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Why These Related Problems?

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