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Finding the Fourth Proportional to 20,162, 27,750.12 and 17,756.18

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Solution

The fourth proportional to 20,162, 27,750.12 and 17,756.18 is: 24,438.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,162 : 27,750.12 = 17,756.18 : x
  2. Step 2: Convert to fraction form
    20,162/27,750.12 = 17,756.18/x
  3. Step 3: Cross multiply
    20,162x = 27,750.12 × 17,756.18
  4. Step 4: Simplify right side
    20,162x = 492,736,125.74
  5. Step 5: Solve for x
    x = 492,736,125.74/20,162
  6. Step 6: Final answer
    x = 24,438.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.