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Finding the Fourth Proportional to 20,107.10, 30,162.98 and 7,636.48

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Solution

The fourth proportional to 20,107.10, 30,162.98 and 7,636.48 is: 11,455.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,107.10 : 30,162.98 = 7,636.48 : x
  2. Step 2: Convert to fraction form
    20,107.10/30,162.98 = 7,636.48/x
  3. Step 3: Cross multiply
    20,107.10x = 30,162.98 × 7,636.48
  4. Step 4: Simplify right side
    20,107.10x = 230,338,937.19
  5. Step 5: Solve for x
    x = 230,338,937.19/20,107.10
  6. Step 6: Final answer
    x = 11,455.60

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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.