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Finding the Fourth Proportional to 13,765.16, 20,649.11 and 4,402.82

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Solution

The fourth proportional to 13,765.16, 20,649.11 and 4,402.82 is: 6,604.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,765.16 : 20,649.11 = 4,402.82 : x
  2. Step 2: Convert to fraction form
    13,765.16/20,649.11 = 4,402.82/x
  3. Step 3: Cross multiply
    13,765.16x = 20,649.11 × 4,402.82
  4. Step 4: Simplify right side
    13,765.16x = 90,914,189.23
  5. Step 5: Solve for x
    x = 90,914,189.23/13,765.16
  6. Step 6: Final answer
    x = 6,604.66

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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.