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Finding the Fourth Proportional to 20,585.76, 30,789.60 and 12,132.16

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Solution

The fourth proportional to 20,585.76, 30,789.60 and 12,132.16 is: 18,145.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,585.76 : 30,789.60 = 12,132.16 : x
  2. Step 2: Convert to fraction form
    20,585.76/30,789.60 = 12,132.16/x
  3. Step 3: Cross multiply
    20,585.76x = 30,789.60 × 12,132.16
  4. Step 4: Simplify right side
    20,585.76x = 373,544,353.54
  5. Step 5: Solve for x
    x = 373,544,353.54/20,585.76
  6. Step 6: Final answer
    x = 18,145.76

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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.