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Finding the Fourth Proportional to 13,690.51, 20,537.01 and 3,829.76

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Solution

The fourth proportional to 13,690.51, 20,537.01 and 3,829.76 is: 5,744.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,690.51 : 20,537.01 = 3,829.76 : x
  2. Step 2: Convert to fraction form
    13,690.51/20,537.01 = 3,829.76/x
  3. Step 3: Cross multiply
    13,690.51x = 20,537.01 × 3,829.76
  4. Step 4: Simplify right side
    13,690.51x = 78,651,744.06
  5. Step 5: Solve for x
    x = 78,651,744.06/13,690.51
  6. Step 6: Final answer
    x = 5,744.98

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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.