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Finding the Fourth Proportional to 30,471.08, 45,711.42 and 12,941

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Solution

The fourth proportional to 30,471.08, 45,711.42 and 12,941 is: 19,413.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,471.08 : 45,711.42 = 12,941 : x
  2. Step 2: Convert to fraction form
    30,471.08/45,711.42 = 12,941/x
  3. Step 3: Cross multiply
    30,471.08x = 45,711.42 × 12,941
  4. Step 4: Simplify right side
    30,471.08x = 591,551,486.22
  5. Step 5: Solve for x
    x = 591,551,486.22/30,471.08
  6. Step 6: Final answer
    x = 19,413.54

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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.