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Finding the Fourth Proportional to 2,106.29, 3,158.75 and 873.03

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Solution

The fourth proportional to 2,106.29, 3,158.75 and 873.03 is: 1,309.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.29 : 3,158.75 = 873.03 : x
  2. Step 2: Convert to fraction form
    2,106.29/3,158.75 = 873.03/x
  3. Step 3: Cross multiply
    2,106.29x = 3,158.75 × 873.03
  4. Step 4: Simplify right side
    2,106.29x = 2,757,679.15
  5. Step 5: Solve for x
    x = 2,757,679.15/2,106.29
  6. Step 6: Final answer
    x = 1,309.26

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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.