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Finding the Fourth Proportional to 20,178.40, 30,267.60 and 11,430.40

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Solution

The fourth proportional to 20,178.40, 30,267.60 and 11,430.40 is: 17,145.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,178.40 : 30,267.60 = 11,430.40 : x
  2. Step 2: Convert to fraction form
    20,178.40/30,267.60 = 11,430.40/x
  3. Step 3: Cross multiply
    20,178.40x = 30,267.60 × 11,430.40
  4. Step 4: Simplify right side
    20,178.40x = 345,970,775.04
  5. Step 5: Solve for x
    x = 345,970,775.04/20,178.40
  6. Step 6: Final answer
    x = 17,145.60

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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.