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Finding the Fourth Proportional to 20,155.76, 30,230.76 and 5,365.96

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Solution

The fourth proportional to 20,155.76, 30,230.76 and 5,365.96 is: 8,048.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,155.76 : 30,230.76 = 5,365.96 : x
  2. Step 2: Convert to fraction form
    20,155.76/30,230.76 = 5,365.96/x
  3. Step 3: Cross multiply
    20,155.76x = 30,230.76 × 5,365.96
  4. Step 4: Simplify right side
    20,155.76x = 162,217,048.93
  5. Step 5: Solve for x
    x = 162,217,048.93/20,155.76
  6. Step 6: Final answer
    x = 8,048.17

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1.5x scale

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.