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Finding the Fourth Proportional to 38,415.68, 57,591.84 and 12,104

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Solution

The fourth proportional to 38,415.68, 57,591.84 and 12,104 is: 18,146.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,415.68 : 57,591.84 = 12,104 : x
  2. Step 2: Convert to fraction form
    38,415.68/57,591.84 = 12,104/x
  3. Step 3: Cross multiply
    38,415.68x = 57,591.84 × 12,104
  4. Step 4: Simplify right side
    38,415.68x = 697,091,631.36
  5. Step 5: Solve for x
    x = 697,091,631.36/38,415.68
  6. Step 6: Final answer
    x = 18,146.02

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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.