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Finding the Fourth Proportional to 13,804.48, 20,692.41 and 6,402.88

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Solution

The fourth proportional to 13,804.48, 20,692.41 and 6,402.88 is: 9,597.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,804.48 : 20,692.41 = 6,402.88 : x
  2. Step 2: Convert to fraction form
    13,804.48/20,692.41 = 6,402.88/x
  3. Step 3: Cross multiply
    13,804.48x = 20,692.41 × 6,402.88
  4. Step 4: Simplify right side
    13,804.48x = 132,491,018.14
  5. Step 5: Solve for x
    x = 132,491,018.14/13,804.48
  6. Step 6: Final answer
    x = 9,597.68

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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.