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Finding the Fourth Proportional to 10,939.50, 15,096.51 and 5,971.50

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Solution

The fourth proportional to 10,939.50, 15,096.51 and 5,971.50 is: 8,240.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,939.50 : 15,096.51 = 5,971.50 : x
  2. Step 2: Convert to fraction form
    10,939.50/15,096.51 = 5,971.50/x
  3. Step 3: Cross multiply
    10,939.50x = 15,096.51 × 5,971.50
  4. Step 4: Simplify right side
    10,939.50x = 90,148,809.47
  5. Step 5: Solve for x
    x = 90,148,809.47/10,939.50
  6. Step 6: Final answer
    x = 8,240.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.