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Finding the Fourth Proportional to 8,431.21, 11,635 and 4,894.75

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Solution

The fourth proportional to 8,431.21, 11,635 and 4,894.75 is: 6,754.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431.21 : 11,635 = 4,894.75 : x
  2. Step 2: Convert to fraction form
    8,431.21/11,635 = 4,894.75/x
  3. Step 3: Cross multiply
    8,431.21x = 11,635 × 4,894.75
  4. Step 4: Simplify right side
    8,431.21x = 56,950,416.25
  5. Step 5: Solve for x
    x = 56,950,416.25/8,431.21
  6. Step 6: Final answer
    x = 6,754.71

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Half scale
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Double scale
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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.