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Finding the Fourth Proportional to 38,506.91, 57,762.41 and 12,213.68

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Solution

The fourth proportional to 38,506.91, 57,762.41 and 12,213.68 is: 18,321.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,506.91 : 57,762.41 = 12,213.68 : x
  2. Step 2: Convert to fraction form
    38,506.91/57,762.41 = 12,213.68/x
  3. Step 3: Cross multiply
    38,506.91x = 57,762.41 × 12,213.68
  4. Step 4: Simplify right side
    38,506.91x = 705,491,333.49
  5. Step 5: Solve for x
    x = 705,491,333.49/38,506.91
  6. Step 6: Final answer
    x = 18,321.16

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1.5x scale

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.