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Finding the Fourth Proportional to 7,838.51, 11,754.79 and 2,290.68

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Solution

The fourth proportional to 7,838.51, 11,754.79 and 2,290.68 is: 3,435.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.51 : 11,754.79 = 2,290.68 : x
  2. Step 2: Convert to fraction form
    7,838.51/11,754.79 = 2,290.68/x
  3. Step 3: Cross multiply
    7,838.51x = 11,754.79 × 2,290.68
  4. Step 4: Simplify right side
    7,838.51x = 26,926,456.63
  5. Step 5: Solve for x
    x = 26,926,456.63/7,838.51
  6. Step 6: Final answer
    x = 3,435.15

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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.