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Finding the Fourth Proportional to 30,270.52, 45,394.26 and 13,843

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Solution

The fourth proportional to 30,270.52, 45,394.26 and 13,843 is: 20,759.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,270.52 : 45,394.26 = 13,843 : x
  2. Step 2: Convert to fraction form
    30,270.52/45,394.26 = 13,843/x
  3. Step 3: Cross multiply
    30,270.52x = 45,394.26 × 13,843
  4. Step 4: Simplify right side
    30,270.52x = 628,392,741.18
  5. Step 5: Solve for x
    x = 628,392,741.18/30,270.52
  6. Step 6: Final answer
    x = 20,759.23

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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.