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Finding the Fourth Proportional to 38,461.76, 57,695.88 and 12,165.92

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Solution

The fourth proportional to 38,461.76, 57,695.88 and 12,165.92 is: 18,249.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,461.76 : 57,695.88 = 12,165.92 : x
  2. Step 2: Convert to fraction form
    38,461.76/57,695.88 = 12,165.92/x
  3. Step 3: Cross multiply
    38,461.76x = 57,695.88 × 12,165.92
  4. Step 4: Simplify right side
    38,461.76x = 701,923,460.41
  5. Step 5: Solve for x
    x = 701,923,460.41/38,461.76
  6. Step 6: Final answer
    x = 18,249.90

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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.