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Finding the Fourth Proportional to 30,322.77, 45,489.01 and 12,795.18

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Solution

The fourth proportional to 30,322.77, 45,489.01 and 12,795.18 is: 19,194.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,322.77 : 45,489.01 = 12,795.18 : x
  2. Step 2: Convert to fraction form
    30,322.77/45,489.01 = 12,795.18/x
  3. Step 3: Cross multiply
    30,322.77x = 45,489.01 × 12,795.18
  4. Step 4: Simplify right side
    30,322.77x = 582,040,070.97
  5. Step 5: Solve for x
    x = 582,040,070.97/30,322.77
  6. Step 6: Final answer
    x = 19,194.82

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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.