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Finding the Fourth Proportional to 38,475.76, 57,718.52 and 12,171

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Solution

The fourth proportional to 38,475.76, 57,718.52 and 12,171 is: 18,258.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,475.76 : 57,718.52 = 12,171 : x
  2. Step 2: Convert to fraction form
    38,475.76/57,718.52 = 12,171/x
  3. Step 3: Cross multiply
    38,475.76x = 57,718.52 × 12,171
  4. Step 4: Simplify right side
    38,475.76x = 702,492,106.92
  5. Step 5: Solve for x
    x = 702,492,106.92/38,475.76
  6. Step 6: Final answer
    x = 18,258.04

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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.