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Finding the Fourth Proportional to 20,160, 30,232.14 and 11,842.14

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Solution

The fourth proportional to 20,160, 30,232.14 and 11,842.14 is: 17,758.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,160 : 30,232.14 = 11,842.14 : x
  2. Step 2: Convert to fraction form
    20,160/30,232.14 = 11,842.14/x
  3. Step 3: Cross multiply
    20,160x = 30,232.14 × 11,842.14
  4. Step 4: Simplify right side
    20,160x = 358,013,234.38
  5. Step 5: Solve for x
    x = 358,013,234.38/20,160
  6. Step 6: Final answer
    x = 17,758.59

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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.