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Finding the Fourth Proportional to 6,768.99, 10,154.07 and 2,326.50

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Solution

The fourth proportional to 6,768.99, 10,154.07 and 2,326.50 is: 3,489.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,768.99 : 10,154.07 = 2,326.50 : x
  2. Step 2: Convert to fraction form
    6,768.99/10,154.07 = 2,326.50/x
  3. Step 3: Cross multiply
    6,768.99x = 10,154.07 × 2,326.50
  4. Step 4: Simplify right side
    6,768.99x = 23,623,443.86
  5. Step 5: Solve for x
    x = 23,623,443.86/6,768.99
  6. Step 6: Final answer
    x = 3,489.95

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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.