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Finding the Fourth Proportional to 30,593.72, 45,891.92 and 8,409.28

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Solution

The fourth proportional to 30,593.72, 45,891.92 and 8,409.28 is: 12,614.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,593.72 : 45,891.92 = 8,409.28 : x
  2. Step 2: Convert to fraction form
    30,593.72/45,891.92 = 8,409.28/x
  3. Step 3: Cross multiply
    30,593.72x = 45,891.92 × 8,409.28
  4. Step 4: Simplify right side
    30,593.72x = 385,918,005.02
  5. Step 5: Solve for x
    x = 385,918,005.02/30,593.72
  6. Step 6: Final answer
    x = 12,614.29

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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.