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Finding the Fourth Proportional to 13,690.56, 20,538.06 and 5,366.06

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Solution

The fourth proportional to 13,690.56, 20,538.06 and 5,366.06 is: 8,049.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,690.56 : 20,538.06 = 5,366.06 : x
  2. Step 2: Convert to fraction form
    13,690.56/20,538.06 = 5,366.06/x
  3. Step 3: Cross multiply
    13,690.56x = 20,538.06 × 5,366.06
  4. Step 4: Simplify right side
    13,690.56x = 110,208,462.24
  5. Step 5: Solve for x
    x = 110,208,462.24/13,690.56
  6. Step 6: Final answer
    x = 8,049.96

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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.