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Finding the Fourth Proportional to 13,954.64, 20,939.13 and 7,713.48

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Solution

The fourth proportional to 13,954.64, 20,939.13 and 7,713.48 is: 11,574.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,954.64 : 20,939.13 = 7,713.48 : x
  2. Step 2: Convert to fraction form
    13,954.64/20,939.13 = 7,713.48/x
  3. Step 3: Cross multiply
    13,954.64x = 20,939.13 × 7,713.48
  4. Step 4: Simplify right side
    13,954.64x = 161,513,521.91
  5. Step 5: Solve for x
    x = 161,513,521.91/13,954.64
  6. Step 6: Final answer
    x = 11,574.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.