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Finding the Fourth Proportional to 30,679.94, 46,019.97 and 8,493.38

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Solution

The fourth proportional to 30,679.94, 46,019.97 and 8,493.38 is: 12,740.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,679.94 : 46,019.97 = 8,493.38 : x
  2. Step 2: Convert to fraction form
    30,679.94/46,019.97 = 8,493.38/x
  3. Step 3: Cross multiply
    30,679.94x = 46,019.97 × 8,493.38
  4. Step 4: Simplify right side
    30,679.94x = 390,865,092.80
  5. Step 5: Solve for x
    x = 390,865,092.80/30,679.94
  6. Step 6: Final answer
    x = 12,740.09

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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.