Home / 13,564.24-20,341-5,239.68

Finding the Fourth Proportional to 13,564.24, 20,341 and 5,239.68

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Solution

The fourth proportional to 13,564.24, 20,341 and 5,239.68 is: 7,857.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,564.24 : 20,341 = 5,239.68 : x
  2. Step 2: Convert to fraction form
    13,564.24/20,341 = 5,239.68/x
  3. Step 3: Cross multiply
    13,564.24x = 20,341 × 5,239.68
  4. Step 4: Simplify right side
    13,564.24x = 106,580,330.88
  5. Step 5: Solve for x
    x = 106,580,330.88/13,564.24
  6. Step 6: Final answer
    x = 7,857.45

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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.