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Finding the Fourth Proportional to 20,530.54, 30,795.86 and 5,739.43

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Solution

The fourth proportional to 20,530.54, 30,795.86 and 5,739.43 is: 8,609.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,530.54 : 30,795.86 = 5,739.43 : x
  2. Step 2: Convert to fraction form
    20,530.54/30,795.86 = 5,739.43/x
  3. Step 3: Cross multiply
    20,530.54x = 30,795.86 × 5,739.43
  4. Step 4: Simplify right side
    20,530.54x = 176,750,682.76
  5. Step 5: Solve for x
    x = 176,750,682.76/20,530.54
  6. Step 6: Final answer
    x = 8,609.16

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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.