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Finding the Fourth Proportional to 6,647.67, 9,971.55 and 3,174.39

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Solution

The fourth proportional to 6,647.67, 9,971.55 and 3,174.39 is: 4,761.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,647.67 : 9,971.55 = 3,174.39 : x
  2. Step 2: Convert to fraction form
    6,647.67/9,971.55 = 3,174.39/x
  3. Step 3: Cross multiply
    6,647.67x = 9,971.55 × 3,174.39
  4. Step 4: Simplify right side
    6,647.67x = 31,653,588.60
  5. Step 5: Solve for x
    x = 31,653,588.60/6,647.67
  6. Step 6: Final answer
    x = 4,761.61

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1.5x scale

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.