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Finding the Fourth Proportional to 20,769.95, 31,151.54 and 5,975.50

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Solution

The fourth proportional to 20,769.95, 31,151.54 and 5,975.50 is: 8,962.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,769.95 : 31,151.54 = 5,975.50 : x
  2. Step 2: Convert to fraction form
    20,769.95/31,151.54 = 5,975.50/x
  3. Step 3: Cross multiply
    20,769.95x = 31,151.54 × 5,975.50
  4. Step 4: Simplify right side
    20,769.95x = 186,145,964.33
  5. Step 5: Solve for x
    x = 186,145,964.33/20,769.95
  6. Step 6: Final answer
    x = 8,962.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.