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Finding the Fourth Proportional to 30,388.96, 45,591.81 and 10,664.92

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Solution

The fourth proportional to 30,388.96, 45,591.81 and 10,664.92 is: 16,000.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,388.96 : 45,591.81 = 10,664.92 : x
  2. Step 2: Convert to fraction form
    30,388.96/45,591.81 = 10,664.92/x
  3. Step 3: Cross multiply
    30,388.96x = 45,591.81 × 10,664.92
  4. Step 4: Simplify right side
    30,388.96x = 486,233,006.31
  5. Step 5: Solve for x
    x = 486,233,006.31/30,388.96
  6. Step 6: Final answer
    x = 16,000.32

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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.