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Finding the Fourth Proportional to 13,825, 20,740.68 and 4,465.84

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Solution

The fourth proportional to 13,825, 20,740.68 and 4,465.84 is: 6,699.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,825 : 20,740.68 = 4,465.84 : x
  2. Step 2: Convert to fraction form
    13,825/20,740.68 = 4,465.84/x
  3. Step 3: Cross multiply
    13,825x = 20,740.68 × 4,465.84
  4. Step 4: Simplify right side
    13,825x = 92,624,558.37
  5. Step 5: Solve for x
    x = 92,624,558.37/13,825
  6. Step 6: Final answer
    x = 6,699.79

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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.