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Finding the Fourth Proportional to 4,638.84, 6,958.26 and 2,811

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Solution

The fourth proportional to 4,638.84, 6,958.26 and 2,811 is: 4,216.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,638.84 : 6,958.26 = 2,811 : x
  2. Step 2: Convert to fraction form
    4,638.84/6,958.26 = 2,811/x
  3. Step 3: Cross multiply
    4,638.84x = 6,958.26 × 2,811
  4. Step 4: Simplify right side
    4,638.84x = 19,559,668.86
  5. Step 5: Solve for x
    x = 19,559,668.86/4,638.84
  6. Step 6: Final answer
    x = 4,216.50

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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.