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Finding the Fourth Proportional to 20,271.60, 30,400.20 and 9,183.60

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Solution

The fourth proportional to 20,271.60, 30,400.20 and 9,183.60 is: 13,772.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,271.60 : 30,400.20 = 9,183.60 : x
  2. Step 2: Convert to fraction form
    20,271.60/30,400.20 = 9,183.60/x
  3. Step 3: Cross multiply
    20,271.60x = 30,400.20 × 9,183.60
  4. Step 4: Simplify right side
    20,271.60x = 279,183,276.72
  5. Step 5: Solve for x
    x = 279,183,276.72/20,271.60
  6. Step 6: Final answer
    x = 13,772.14

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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.