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Finding the Fourth Proportional to 8,234.38, 11,370 and 7,604.68

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Solution

The fourth proportional to 8,234.38, 11,370 and 7,604.68 is: 10,500.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.38 : 11,370 = 7,604.68 : x
  2. Step 2: Convert to fraction form
    8,234.38/11,370 = 7,604.68/x
  3. Step 3: Cross multiply
    8,234.38x = 11,370 × 7,604.68
  4. Step 4: Simplify right side
    8,234.38x = 86,465,211.60
  5. Step 5: Solve for x
    x = 86,465,211.60/8,234.38
  6. Step 6: Final answer
    x = 10,500.51

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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.