Home / 13,677.84-20,520-5,884.56

Finding the Fourth Proportional to 13,677.84, 20,520 and 5,884.56

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Solution

The fourth proportional to 13,677.84, 20,520 and 5,884.56 is: 8,828.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,677.84 : 20,520 = 5,884.56 : x
  2. Step 2: Convert to fraction form
    13,677.84/20,520 = 5,884.56/x
  3. Step 3: Cross multiply
    13,677.84x = 20,520 × 5,884.56
  4. Step 4: Simplify right side
    13,677.84x = 120,751,171.20
  5. Step 5: Solve for x
    x = 120,751,171.20/13,677.84
  6. Step 6: Final answer
    x = 8,828.23

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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.