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Finding the Fourth Proportional to 14,768.64, 20,387.52 and 12,744

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Solution

The fourth proportional to 14,768.64, 20,387.52 and 12,744 is: 17,592.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,768.64 : 20,387.52 = 12,744 : x
  2. Step 2: Convert to fraction form
    14,768.64/20,387.52 = 12,744/x
  3. Step 3: Cross multiply
    14,768.64x = 20,387.52 × 12,744
  4. Step 4: Simplify right side
    14,768.64x = 259,818,554.88
  5. Step 5: Solve for x
    x = 259,818,554.88/14,768.64
  6. Step 6: Final answer
    x = 17,592.59

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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.