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Finding the Fourth Proportional to 13,818, 20,726.46 and 3,956.88

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Solution

The fourth proportional to 13,818, 20,726.46 and 3,956.88 is: 5,935.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,818 : 20,726.46 = 3,956.88 : x
  2. Step 2: Convert to fraction form
    13,818/20,726.46 = 3,956.88/x
  3. Step 3: Cross multiply
    13,818x = 20,726.46 × 3,956.88
  4. Step 4: Simplify right side
    13,818x = 82,012,115.04
  5. Step 5: Solve for x
    x = 82,012,115.04/13,818
  6. Step 6: Final answer
    x = 5,935.17

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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.