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Finding the Fourth Proportional to 38,482.74, 57,734.37 and 12,187.98

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Solution

The fourth proportional to 38,482.74, 57,734.37 and 12,187.98 is: 18,285.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,482.74 : 57,734.37 = 12,187.98 : x
  2. Step 2: Convert to fraction form
    38,482.74/57,734.37 = 12,187.98/x
  3. Step 3: Cross multiply
    38,482.74x = 57,734.37 × 12,187.98
  4. Step 4: Simplify right side
    38,482.74x = 703,665,346.87
  5. Step 5: Solve for x
    x = 703,665,346.87/38,482.74
  6. Step 6: Final answer
    x = 18,285.22

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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.