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Finding the Fourth Proportional to 20,177.40, 30,222.90 and 17,585.40

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Solution

The fourth proportional to 20,177.40, 30,222.90 and 17,585.40 is: 26,340.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,177.40 : 30,222.90 = 17,585.40 : x
  2. Step 2: Convert to fraction form
    20,177.40/30,222.90 = 17,585.40/x
  3. Step 3: Cross multiply
    20,177.40x = 30,222.90 × 17,585.40
  4. Step 4: Simplify right side
    20,177.40x = 531,481,785.66
  5. Step 5: Solve for x
    x = 531,481,785.66/20,177.40
  6. Step 6: Final answer
    x = 26,340.45

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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.