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Finding the Fourth Proportional to 13,811, 20,719.80 and 4,577

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Solution

The fourth proportional to 13,811, 20,719.80 and 4,577 is: 6,866.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,811 : 20,719.80 = 4,577 : x
  2. Step 2: Convert to fraction form
    13,811/20,719.80 = 4,577/x
  3. Step 3: Cross multiply
    13,811x = 20,719.80 × 4,577
  4. Step 4: Simplify right side
    13,811x = 94,834,524.60
  5. Step 5: Solve for x
    x = 94,834,524.60/13,811
  6. Step 6: Final answer
    x = 6,866.59

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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.