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Finding the Fourth Proportional to 11,318.96, 16,978.44 and 3,527.76

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Solution

The fourth proportional to 11,318.96, 16,978.44 and 3,527.76 is: 5,291.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,318.96 : 16,978.44 = 3,527.76 : x
  2. Step 2: Convert to fraction form
    11,318.96/16,978.44 = 3,527.76/x
  3. Step 3: Cross multiply
    11,318.96x = 16,978.44 × 3,527.76
  4. Step 4: Simplify right side
    11,318.96x = 59,895,861.49
  5. Step 5: Solve for x
    x = 59,895,861.49/11,318.96
  6. Step 6: Final answer
    x = 5,291.64

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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.