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Finding the Fourth Proportional to 38,467.44, 57,701.16 and 20,971.44

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Solution

The fourth proportional to 38,467.44, 57,701.16 and 20,971.44 is: 31,457.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,467.44 : 57,701.16 = 20,971.44 : x
  2. Step 2: Convert to fraction form
    38,467.44/57,701.16 = 20,971.44/x
  3. Step 3: Cross multiply
    38,467.44x = 57,701.16 × 20,971.44
  4. Step 4: Simplify right side
    38,467.44x = 1,210,076,414.87
  5. Step 5: Solve for x
    x = 1,210,076,414.87/38,467.44
  6. Step 6: Final answer
    x = 31,457.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.