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Finding the Fourth Proportional to 20,118.69, 30,178.04 and 6,971.06

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Solution

The fourth proportional to 20,118.69, 30,178.04 and 6,971.06 is: 10,456.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,118.69 : 30,178.04 = 6,971.06 : x
  2. Step 2: Convert to fraction form
    20,118.69/30,178.04 = 6,971.06/x
  3. Step 3: Cross multiply
    20,118.69x = 30,178.04 × 6,971.06
  4. Step 4: Simplify right side
    20,118.69x = 210,372,982.82
  5. Step 5: Solve for x
    x = 210,372,982.82/20,118.69
  6. Step 6: Final answer
    x = 10,456.59

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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.