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Finding the Fourth Proportional to 30,605.56, 45,910.42 and 9,827.80

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Solution

The fourth proportional to 30,605.56, 45,910.42 and 9,827.80 is: 14,742.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,605.56 : 45,910.42 = 9,827.80 : x
  2. Step 2: Convert to fraction form
    30,605.56/45,910.42 = 9,827.80/x
  3. Step 3: Cross multiply
    30,605.56x = 45,910.42 × 9,827.80
  4. Step 4: Simplify right side
    30,605.56x = 451,198,425.68
  5. Step 5: Solve for x
    x = 451,198,425.68/30,605.56
  6. Step 6: Final answer
    x = 14,742.37

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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.