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Finding the Fourth Proportional to 13,803.12, 20,659.14 and 9,792.84

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Solution

The fourth proportional to 13,803.12, 20,659.14 and 9,792.84 is: 14,656.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,803.12 : 20,659.14 = 9,792.84 : x
  2. Step 2: Convert to fraction form
    13,803.12/20,659.14 = 9,792.84/x
  3. Step 3: Cross multiply
    13,803.12x = 20,659.14 × 9,792.84
  4. Step 4: Simplify right side
    13,803.12x = 202,311,652.56
  5. Step 5: Solve for x
    x = 202,311,652.56/13,803.12
  6. Step 6: Final answer
    x = 14,656.95

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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.