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Finding the Fourth Proportional to 30,867, 42,606.18 and 19,689

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Solution

The fourth proportional to 30,867, 42,606.18 and 19,689 is: 27,177.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,867 : 42,606.18 = 19,689 : x
  2. Step 2: Convert to fraction form
    30,867/42,606.18 = 19,689/x
  3. Step 3: Cross multiply
    30,867x = 42,606.18 × 19,689
  4. Step 4: Simplify right side
    30,867x = 838,873,078.02
  5. Step 5: Solve for x
    x = 838,873,078.02/30,867
  6. Step 6: Final answer
    x = 27,177.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.