Home / 7,884.80-11,827.74-2,042

Finding the Fourth Proportional to 7,884.80, 11,827.74 and 2,042

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Solution

The fourth proportional to 7,884.80, 11,827.74 and 2,042 is: 3,063.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.80 : 11,827.74 = 2,042 : x
  2. Step 2: Convert to fraction form
    7,884.80/11,827.74 = 2,042/x
  3. Step 3: Cross multiply
    7,884.80x = 11,827.74 × 2,042
  4. Step 4: Simplify right side
    7,884.80x = 24,152,245.08
  5. Step 5: Solve for x
    x = 24,152,245.08/7,884.80
  6. Step 6: Final answer
    x = 3,063.14

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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.