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Finding the Fourth Proportional to 2,607.89, 3,909.20 and 1,634.67

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Solution

The fourth proportional to 2,607.89, 3,909.20 and 1,634.67 is: 2,450.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,607.89 : 3,909.20 = 1,634.67 : x
  2. Step 2: Convert to fraction form
    2,607.89/3,909.20 = 1,634.67/x
  3. Step 3: Cross multiply
    2,607.89x = 3,909.20 × 1,634.67
  4. Step 4: Simplify right side
    2,607.89x = 6,390,243.79
  5. Step 5: Solve for x
    x = 6,390,243.79/2,607.89
  6. Step 6: Final answer
    x = 2,450.35

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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.