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Finding the Fourth Proportional to 14,782.73, 20,400 and 8,068.64

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Solution

The fourth proportional to 14,782.73, 20,400 and 8,068.64 is: 11,134.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,782.73 : 20,400 = 8,068.64 : x
  2. Step 2: Convert to fraction form
    14,782.73/20,400 = 8,068.64/x
  3. Step 3: Cross multiply
    14,782.73x = 20,400 × 8,068.64
  4. Step 4: Simplify right side
    14,782.73x = 164,600,256
  5. Step 5: Solve for x
    x = 164,600,256/14,782.73
  6. Step 6: Final answer
    x = 11,134.63

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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.