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Finding the Fourth Proportional to 30,346.80, 45,519.84 and 13,695

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Solution

The fourth proportional to 30,346.80, 45,519.84 and 13,695 is: 20,542.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,346.80 : 45,519.84 = 13,695 : x
  2. Step 2: Convert to fraction form
    30,346.80/45,519.84 = 13,695/x
  3. Step 3: Cross multiply
    30,346.80x = 45,519.84 × 13,695
  4. Step 4: Simplify right side
    30,346.80x = 623,394,208.80
  5. Step 5: Solve for x
    x = 623,394,208.80/30,346.80
  6. Step 6: Final answer
    x = 20,542.34

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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.