Home / 13,886.23-20,825.62-5,120

Finding the Fourth Proportional to 13,886.23, 20,825.62 and 5,120

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Solution

The fourth proportional to 13,886.23, 20,825.62 and 5,120 is: 7,678.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,886.23 : 20,825.62 = 5,120 : x
  2. Step 2: Convert to fraction form
    13,886.23/20,825.62 = 5,120/x
  3. Step 3: Cross multiply
    13,886.23x = 20,825.62 × 5,120
  4. Step 4: Simplify right side
    13,886.23x = 106,627,174.40
  5. Step 5: Solve for x
    x = 106,627,174.40/13,886.23
  6. Step 6: Final answer
    x = 7,678.63

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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.