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Finding the Fourth Proportional to 20,575.34, 30,860.67 and 5,784.86

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Solution

The fourth proportional to 20,575.34, 30,860.67 and 5,784.86 is: 8,676.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,575.34 : 30,860.67 = 5,784.86 : x
  2. Step 2: Convert to fraction form
    20,575.34/30,860.67 = 5,784.86/x
  3. Step 3: Cross multiply
    20,575.34x = 30,860.67 × 5,784.86
  4. Step 4: Simplify right side
    20,575.34x = 178,524,655.46
  5. Step 5: Solve for x
    x = 178,524,655.46/20,575.34
  6. Step 6: Final answer
    x = 8,676.63

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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.