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Finding the Fourth Proportional to 6,503.72, 9,751.26 and 2,119.64

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Solution

The fourth proportional to 6,503.72, 9,751.26 and 2,119.64 is: 3,178.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.72 : 9,751.26 = 2,119.64 : x
  2. Step 2: Convert to fraction form
    6,503.72/9,751.26 = 2,119.64/x
  3. Step 3: Cross multiply
    6,503.72x = 9,751.26 × 2,119.64
  4. Step 4: Simplify right side
    6,503.72x = 20,669,160.75
  5. Step 5: Solve for x
    x = 20,669,160.75/6,503.72
  6. Step 6: Final answer
    x = 3,178.05

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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.