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Finding the Fourth Proportional to 20,461.34, 30,692.41 and 6,421.82

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Solution

The fourth proportional to 20,461.34, 30,692.41 and 6,421.82 is: 9,632.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,461.34 : 30,692.41 = 6,421.82 : x
  2. Step 2: Convert to fraction form
    20,461.34/30,692.41 = 6,421.82/x
  3. Step 3: Cross multiply
    20,461.34x = 30,692.41 × 6,421.82
  4. Step 4: Simplify right side
    20,461.34x = 197,101,193.06
  5. Step 5: Solve for x
    x = 197,101,193.06/20,461.34
  6. Step 6: Final answer
    x = 9,632.86

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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.