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Finding the Fourth Proportional to 29,219, 43,806.62 and 9,485.78

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Solution

The fourth proportional to 29,219, 43,806.62 and 9,485.78 is: 14,221.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,219 : 43,806.62 = 9,485.78 : x
  2. Step 2: Convert to fraction form
    29,219/43,806.62 = 9,485.78/x
  3. Step 3: Cross multiply
    29,219x = 43,806.62 × 9,485.78
  4. Step 4: Simplify right side
    29,219x = 415,539,959.86
  5. Step 5: Solve for x
    x = 415,539,959.86/29,219
  6. Step 6: Final answer
    x = 14,221.57

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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.