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Finding the Fourth Proportional to 13,716, 20,563.20 and 7,143.12

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Solution

The fourth proportional to 13,716, 20,563.20 and 7,143.12 is: 10,709.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,716 : 20,563.20 = 7,143.12 : x
  2. Step 2: Convert to fraction form
    13,716/20,563.20 = 7,143.12/x
  3. Step 3: Cross multiply
    13,716x = 20,563.20 × 7,143.12
  4. Step 4: Simplify right side
    13,716x = 146,885,405.18
  5. Step 5: Solve for x
    x = 146,885,405.18/13,716
  6. Step 6: Final answer
    x = 10,709.06

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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.