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Finding the Fourth Proportional to 7,838, 11,759.44 and 2,291.46

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Solution

The fourth proportional to 7,838, 11,759.44 and 2,291.46 is: 3,437.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838 : 11,759.44 = 2,291.46 : x
  2. Step 2: Convert to fraction form
    7,838/11,759.44 = 2,291.46/x
  3. Step 3: Cross multiply
    7,838x = 11,759.44 × 2,291.46
  4. Step 4: Simplify right side
    7,838x = 26,946,286.38
  5. Step 5: Solve for x
    x = 26,946,286.38/7,838
  6. Step 6: Final answer
    x = 3,437.90

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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.