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Finding the Fourth Proportional to 30,481.89, 45,724.86 and 11,762.16

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Solution

The fourth proportional to 30,481.89, 45,724.86 and 11,762.16 is: 17,644.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,481.89 : 45,724.86 = 11,762.16 : x
  2. Step 2: Convert to fraction form
    30,481.89/45,724.86 = 11,762.16/x
  3. Step 3: Cross multiply
    30,481.89x = 45,724.86 × 11,762.16
  4. Step 4: Simplify right side
    30,481.89x = 537,823,119.30
  5. Step 5: Solve for x
    x = 537,823,119.30/30,481.89
  6. Step 6: Final answer
    x = 17,644.02

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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.