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Finding the Fourth Proportional to 2,609.03, 3,912.73 and 877.25

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Solution

The fourth proportional to 2,609.03, 3,912.73 and 877.25 is: 1,315.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.03 : 3,912.73 = 877.25 : x
  2. Step 2: Convert to fraction form
    2,609.03/3,912.73 = 877.25/x
  3. Step 3: Cross multiply
    2,609.03x = 3,912.73 × 877.25
  4. Step 4: Simplify right side
    2,609.03x = 3,432,442.39
  5. Step 5: Solve for x
    x = 3,432,442.39/2,609.03
  6. Step 6: Final answer
    x = 1,315.60

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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.