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Finding the Fourth Proportional to 14,694.91, 20,278.64 and 7,980.48

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Solution

The fourth proportional to 14,694.91, 20,278.64 and 7,980.48 is: 11,012.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,694.91 : 20,278.64 = 7,980.48 : x
  2. Step 2: Convert to fraction form
    14,694.91/20,278.64 = 7,980.48/x
  3. Step 3: Cross multiply
    14,694.91x = 20,278.64 × 7,980.48
  4. Step 4: Simplify right side
    14,694.91x = 161,833,300.90
  5. Step 5: Solve for x
    x = 161,833,300.90/14,694.91
  6. Step 6: Final answer
    x = 11,012.88

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1.5x scale

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.