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Finding the Fourth Proportional to 6,538, 9,807 and 1,921

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Solution

The fourth proportional to 6,538, 9,807 and 1,921 is: 2,881.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538 : 9,807 = 1,921 : x
  2. Step 2: Convert to fraction form
    6,538/9,807 = 1,921/x
  3. Step 3: Cross multiply
    6,538x = 9,807 × 1,921
  4. Step 4: Simplify right side
    6,538x = 18,839,247
  5. Step 5: Solve for x
    x = 18,839,247/6,538
  6. Step 6: Final answer
    x = 2,881.50

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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.