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Finding the Fourth Proportional to 13,690.96, 20,536.44 and 5,374.89

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Solution

The fourth proportional to 13,690.96, 20,536.44 and 5,374.89 is: 8,062.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,690.96 : 20,536.44 = 5,374.89 : x
  2. Step 2: Convert to fraction form
    13,690.96/20,536.44 = 5,374.89/x
  3. Step 3: Cross multiply
    13,690.96x = 20,536.44 × 5,374.89
  4. Step 4: Simplify right side
    13,690.96x = 110,381,203.16
  5. Step 5: Solve for x
    x = 110,381,203.16/13,690.96
  6. Step 6: Final answer
    x = 8,062.34

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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.