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Finding the Fourth Proportional to 10,981.50, 16,472.28 and 3,190.50

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Solution

The fourth proportional to 10,981.50, 16,472.28 and 3,190.50 is: 4,785.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,981.50 : 16,472.28 = 3,190.50 : x
  2. Step 2: Convert to fraction form
    10,981.50/16,472.28 = 3,190.50/x
  3. Step 3: Cross multiply
    10,981.50x = 16,472.28 × 3,190.50
  4. Step 4: Simplify right side
    10,981.50x = 52,554,809.34
  5. Step 5: Solve for x
    x = 52,554,809.34/10,981.50
  6. Step 6: Final answer
    x = 4,785.76

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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.