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Finding the Fourth Proportional to 13,810.50, 20,724.27 and 6,019.92

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Solution

The fourth proportional to 13,810.50, 20,724.27 and 6,019.92 is: 9,033.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,810.50 : 20,724.27 = 6,019.92 : x
  2. Step 2: Convert to fraction form
    13,810.50/20,724.27 = 6,019.92/x
  3. Step 3: Cross multiply
    13,810.50x = 20,724.27 × 6,019.92
  4. Step 4: Simplify right side
    13,810.50x = 124,758,447.46
  5. Step 5: Solve for x
    x = 124,758,447.46/13,810.50
  6. Step 6: Final answer
    x = 9,033.59

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