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Finding the Fourth Proportional to 30,469.80, 45,699.09 and 13,825.83

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Solution

The fourth proportional to 30,469.80, 45,699.09 and 13,825.83 is: 20,736.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,469.80 : 45,699.09 = 13,825.83 : x
  2. Step 2: Convert to fraction form
    30,469.80/45,699.09 = 13,825.83/x
  3. Step 3: Cross multiply
    30,469.80x = 45,699.09 × 13,825.83
  4. Step 4: Simplify right side
    30,469.80x = 631,827,849.49
  5. Step 5: Solve for x
    x = 631,827,849.49/30,469.80
  6. Step 6: Final answer
    x = 20,736.20

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1.5x scale

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.