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Finding the Fourth Proportional to 20,173.60, 30,260.40 and 11,857.60

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Solution

The fourth proportional to 20,173.60, 30,260.40 and 11,857.60 is: 17,786.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,173.60 : 30,260.40 = 11,857.60 : x
  2. Step 2: Convert to fraction form
    20,173.60/30,260.40 = 11,857.60/x
  3. Step 3: Cross multiply
    20,173.60x = 30,260.40 × 11,857.60
  4. Step 4: Simplify right side
    20,173.60x = 358,815,719.04
  5. Step 5: Solve for x
    x = 358,815,719.04/20,173.60
  6. Step 6: Final answer
    x = 17,786.40

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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.