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Finding the Fourth Proportional to 20,125.50, 30,189.92 and 6,274.50

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Solution

The fourth proportional to 20,125.50, 30,189.92 and 6,274.50 is: 9,412.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,125.50 : 30,189.92 = 6,274.50 : x
  2. Step 2: Convert to fraction form
    20,125.50/30,189.92 = 6,274.50/x
  3. Step 3: Cross multiply
    20,125.50x = 30,189.92 × 6,274.50
  4. Step 4: Simplify right side
    20,125.50x = 189,426,653.04
  5. Step 5: Solve for x
    x = 189,426,653.04/20,125.50
  6. Step 6: Final answer
    x = 9,412.27

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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.