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Finding the Fourth Proportional to 20,177.86, 30,266.78 and 7,021

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Solution

The fourth proportional to 20,177.86, 30,266.78 and 7,021 is: 10,531.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,177.86 : 30,266.78 = 7,021 : x
  2. Step 2: Convert to fraction form
    20,177.86/30,266.78 = 7,021/x
  3. Step 3: Cross multiply
    20,177.86x = 30,266.78 × 7,021
  4. Step 4: Simplify right side
    20,177.86x = 212,503,062.38
  5. Step 5: Solve for x
    x = 212,503,062.38/20,177.86
  6. Step 6: Final answer
    x = 10,531.50

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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.