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Finding the Fourth Proportional to 14,694.10, 20,278.20 and 7,980

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Solution

The fourth proportional to 14,694.10, 20,278.20 and 7,980 is: 11,012.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,694.10 : 20,278.20 = 7,980 : x
  2. Step 2: Convert to fraction form
    14,694.10/20,278.20 = 7,980/x
  3. Step 3: Cross multiply
    14,694.10x = 20,278.20 × 7,980
  4. Step 4: Simplify right side
    14,694.10x = 161,820,036
  5. Step 5: Solve for x
    x = 161,820,036/14,694.10
  6. Step 6: Final answer
    x = 11,012.59

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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.