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Finding the Fourth Proportional to 15,313.86, 22,965.12 and 5,450.49

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Solution

The fourth proportional to 15,313.86, 22,965.12 and 5,450.49 is: 8,173.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,313.86 : 22,965.12 = 5,450.49 : x
  2. Step 2: Convert to fraction form
    15,313.86/22,965.12 = 5,450.49/x
  3. Step 3: Cross multiply
    15,313.86x = 22,965.12 × 5,450.49
  4. Step 4: Simplify right side
    15,313.86x = 125,171,156.91
  5. Step 5: Solve for x
    x = 125,171,156.91/15,313.86
  6. Step 6: Final answer
    x = 8,173.72

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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.