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Finding the Fourth Proportional to 30,388.89, 45,581.37 and 11,409.78

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Solution

The fourth proportional to 30,388.89, 45,581.37 and 11,409.78 is: 17,113.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,388.89 : 45,581.37 = 11,409.78 : x
  2. Step 2: Convert to fraction form
    30,388.89/45,581.37 = 11,409.78/x
  3. Step 3: Cross multiply
    30,388.89x = 45,581.37 × 11,409.78
  4. Step 4: Simplify right side
    30,388.89x = 520,073,403.80
  5. Step 5: Solve for x
    x = 520,073,403.80/30,388.89
  6. Step 6: Final answer
    x = 17,113.93

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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.