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Finding the Fourth Proportional to 6,503.85, 9,748.78 and 2,807.82

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Solution

The fourth proportional to 6,503.85, 9,748.78 and 2,807.82 is: 4,208.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.85 : 9,748.78 = 2,807.82 : x
  2. Step 2: Convert to fraction form
    6,503.85/9,748.78 = 2,807.82/x
  3. Step 3: Cross multiply
    6,503.85x = 9,748.78 × 2,807.82
  4. Step 4: Simplify right side
    6,503.85x = 27,372,812.44
  5. Step 5: Solve for x
    x = 27,372,812.44/6,503.85
  6. Step 6: Final answer
    x = 4,208.71

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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.