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Finding the Fourth Proportional to 30,375.96, 45,568.80 and 12,846

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Solution

The fourth proportional to 30,375.96, 45,568.80 and 12,846 is: 19,271.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,375.96 : 45,568.80 = 12,846 : x
  2. Step 2: Convert to fraction form
    30,375.96/45,568.80 = 12,846/x
  3. Step 3: Cross multiply
    30,375.96x = 45,568.80 × 12,846
  4. Step 4: Simplify right side
    30,375.96x = 585,376,804.80
  5. Step 5: Solve for x
    x = 585,376,804.80/30,375.96
  6. Step 6: Final answer
    x = 19,271.06

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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.