Home / 7,884.31-11,827.14-2,262

Finding the Fourth Proportional to 7,884.31, 11,827.14 and 2,262

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Solution

The fourth proportional to 7,884.31, 11,827.14 and 2,262 is: 3,393.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.31 : 11,827.14 = 2,262 : x
  2. Step 2: Convert to fraction form
    7,884.31/11,827.14 = 2,262/x
  3. Step 3: Cross multiply
    7,884.31x = 11,827.14 × 2,262
  4. Step 4: Simplify right side
    7,884.31x = 26,752,990.68
  5. Step 5: Solve for x
    x = 26,752,990.68/7,884.31
  6. Step 6: Final answer
    x = 3,393.19

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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.