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Finding the Fourth Proportional to 30,010.81, 45,016.26 and 7,824.19

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Solution

The fourth proportional to 30,010.81, 45,016.26 and 7,824.19 is: 11,736.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,010.81 : 45,016.26 = 7,824.19 : x
  2. Step 2: Convert to fraction form
    30,010.81/45,016.26 = 7,824.19/x
  3. Step 3: Cross multiply
    30,010.81x = 45,016.26 × 7,824.19
  4. Step 4: Simplify right side
    30,010.81x = 352,215,771.33
  5. Step 5: Solve for x
    x = 352,215,771.33/30,010.81
  6. Step 6: Final answer
    x = 11,736.30

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Similar ratio
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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.