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Finding the Fourth Proportional to 20,357.56, 30,543 and 7,207

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Solution

The fourth proportional to 20,357.56, 30,543 and 7,207 is: 10,812.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,357.56 : 30,543 = 7,207 : x
  2. Step 2: Convert to fraction form
    20,357.56/30,543 = 7,207/x
  3. Step 3: Cross multiply
    20,357.56x = 30,543 × 7,207
  4. Step 4: Simplify right side
    20,357.56x = 220,123,401
  5. Step 5: Solve for x
    x = 220,123,401/20,357.56
  6. Step 6: Final answer
    x = 10,812.86

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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.