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Finding the Fourth Proportional to 8,645.67, 11,930.82 and 4,817.28

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Solution

The fourth proportional to 8,645.67, 11,930.82 and 4,817.28 is: 6,647.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,645.67 : 11,930.82 = 4,817.28 : x
  2. Step 2: Convert to fraction form
    8,645.67/11,930.82 = 4,817.28/x
  3. Step 3: Cross multiply
    8,645.67x = 11,930.82 × 4,817.28
  4. Step 4: Simplify right side
    8,645.67x = 57,474,100.57
  5. Step 5: Solve for x
    x = 57,474,100.57/8,645.67
  6. Step 6: Final answer
    x = 6,647.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.