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Finding the Fourth Proportional to 14,664, 20,236.32 and 8,376.54

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Solution

The fourth proportional to 14,664, 20,236.32 and 8,376.54 is: 11,559.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,664 : 20,236.32 = 8,376.54 : x
  2. Step 2: Convert to fraction form
    14,664/20,236.32 = 8,376.54/x
  3. Step 3: Cross multiply
    14,664x = 20,236.32 × 8,376.54
  4. Step 4: Simplify right side
    14,664x = 169,510,343.93
  5. Step 5: Solve for x
    x = 169,510,343.93/14,664
  6. Step 6: Final answer
    x = 11,559.63

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Why These Related Problems?

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