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Finding the Fourth Proportional to 6,648.98, 9,973.49 and 3,137.85

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Solution

The fourth proportional to 6,648.98, 9,973.49 and 3,137.85 is: 4,706.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,648.98 : 9,973.49 = 3,137.85 : x
  2. Step 2: Convert to fraction form
    6,648.98/9,973.49 = 3,137.85/x
  3. Step 3: Cross multiply
    6,648.98x = 9,973.49 × 3,137.85
  4. Step 4: Simplify right side
    6,648.98x = 31,295,299.91
  5. Step 5: Solve for x
    x = 31,295,299.91/6,648.98
  6. Step 6: Final answer
    x = 4,706.79

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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.