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Finding the Fourth Proportional to 30,951, 46,445.63 and 12,227.85

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Solution

The fourth proportional to 30,951, 46,445.63 and 12,227.85 is: 18,349.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,951 : 46,445.63 = 12,227.85 : x
  2. Step 2: Convert to fraction form
    30,951/46,445.63 = 12,227.85/x
  3. Step 3: Cross multiply
    30,951x = 46,445.63 × 12,227.85
  4. Step 4: Simplify right side
    30,951x = 567,930,135.66
  5. Step 5: Solve for x
    x = 567,930,135.66/30,951
  6. Step 6: Final answer
    x = 18,349.33

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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.