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Finding the Fourth Proportional to 30,978.38, 46,451.10 and 12,257.66

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Solution

The fourth proportional to 30,978.38, 46,451.10 and 12,257.66 is: 18,379.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,978.38 : 46,451.10 = 12,257.66 : x
  2. Step 2: Convert to fraction form
    30,978.38/46,451.10 = 12,257.66/x
  3. Step 3: Cross multiply
    30,978.38x = 46,451.10 × 12,257.66
  4. Step 4: Simplify right side
    30,978.38x = 569,381,790.43
  5. Step 5: Solve for x
    x = 569,381,790.43/30,978.38
  6. Step 6: Final answer
    x = 18,379.97

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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.