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Finding the Fourth Proportional to 20,100, 30,153.36 and 6,246.24

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Solution

The fourth proportional to 20,100, 30,153.36 and 6,246.24 is: 9,370.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,100 : 30,153.36 = 6,246.24 : x
  2. Step 2: Convert to fraction form
    20,100/30,153.36 = 6,246.24/x
  3. Step 3: Cross multiply
    20,100x = 30,153.36 × 6,246.24
  4. Step 4: Simplify right side
    20,100x = 188,345,123.37
  5. Step 5: Solve for x
    x = 188,345,123.37/20,100
  6. Step 6: Final answer
    x = 9,370.40

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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.