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Finding the Fourth Proportional to 8,524.35, 11,765.79 and 7,638.62

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Solution

The fourth proportional to 8,524.35, 11,765.79 and 7,638.62 is: 10,543.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,524.35 : 11,765.79 = 7,638.62 : x
  2. Step 2: Convert to fraction form
    8,524.35/11,765.79 = 7,638.62/x
  3. Step 3: Cross multiply
    8,524.35x = 11,765.79 × 7,638.62
  4. Step 4: Simplify right side
    8,524.35x = 89,874,339.98
  5. Step 5: Solve for x
    x = 89,874,339.98/8,524.35
  6. Step 6: Final answer
    x = 10,543.25

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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.