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Finding the Fourth Proportional to 20,143.69, 30,207.66 and 7,657.09

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Solution

The fourth proportional to 20,143.69, 30,207.66 and 7,657.09 is: 11,482.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,143.69 : 30,207.66 = 7,657.09 : x
  2. Step 2: Convert to fraction form
    20,143.69/30,207.66 = 7,657.09/x
  3. Step 3: Cross multiply
    20,143.69x = 30,207.66 × 7,657.09
  4. Step 4: Simplify right side
    20,143.69x = 231,302,771.31
  5. Step 5: Solve for x
    x = 231,302,771.31/20,143.69
  6. Step 6: Final answer
    x = 11,482.64

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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.