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Finding the Fourth Proportional to 20,477.76, 30,715.56 and 10,086

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Solution

The fourth proportional to 20,477.76, 30,715.56 and 10,086 is: 15,128.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,477.76 : 30,715.56 = 10,086 : x
  2. Step 2: Convert to fraction form
    20,477.76/30,715.56 = 10,086/x
  3. Step 3: Cross multiply
    20,477.76x = 30,715.56 × 10,086
  4. Step 4: Simplify right side
    20,477.76x = 309,797,138.16
  5. Step 5: Solve for x
    x = 309,797,138.16/20,477.76
  6. Step 6: Final answer
    x = 15,128.47

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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.