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Finding the Fourth Proportional to 30,379.60, 41,861.64 and 22,409.20

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Solution

The fourth proportional to 30,379.60, 41,861.64 and 22,409.20 is: 30,878.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,379.60 : 41,861.64 = 22,409.20 : x
  2. Step 2: Convert to fraction form
    30,379.60/41,861.64 = 22,409.20/x
  3. Step 3: Cross multiply
    30,379.60x = 41,861.64 × 22,409.20
  4. Step 4: Simplify right side
    30,379.60x = 938,085,863.09
  5. Step 5: Solve for x
    x = 938,085,863.09/30,379.60
  6. Step 6: Final answer
    x = 30,878.81

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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.