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Finding the Fourth Proportional to 20,376.56, 30,567 and 7,230.08

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Solution

The fourth proportional to 20,376.56, 30,567 and 7,230.08 is: 10,845.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,376.56 : 30,567 = 7,230.08 : x
  2. Step 2: Convert to fraction form
    20,376.56/30,567 = 7,230.08/x
  3. Step 3: Cross multiply
    20,376.56x = 30,567 × 7,230.08
  4. Step 4: Simplify right side
    20,376.56x = 221,001,855.36
  5. Step 5: Solve for x
    x = 221,001,855.36/20,376.56
  6. Step 6: Final answer
    x = 10,845.89

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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.