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Finding the Fourth Proportional to 13,662.93, 20,492.09 and 3,803.19

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Solution

The fourth proportional to 13,662.93, 20,492.09 and 3,803.19 is: 5,704.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,662.93 : 20,492.09 = 3,803.19 : x
  2. Step 2: Convert to fraction form
    13,662.93/20,492.09 = 3,803.19/x
  3. Step 3: Cross multiply
    13,662.93x = 20,492.09 × 3,803.19
  4. Step 4: Simplify right side
    13,662.93x = 77,935,292.75
  5. Step 5: Solve for x
    x = 77,935,292.75/13,662.93
  6. Step 6: Final answer
    x = 5,704.14

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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.