Home / 20,745.10-31,121.64-11,380

Finding the Fourth Proportional to 20,745.10, 31,121.64 and 11,380

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Solution

The fourth proportional to 20,745.10, 31,121.64 and 11,380 is: 17,072.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,745.10 : 31,121.64 = 11,380 : x
  2. Step 2: Convert to fraction form
    20,745.10/31,121.64 = 11,380/x
  3. Step 3: Cross multiply
    20,745.10x = 31,121.64 × 11,380
  4. Step 4: Simplify right side
    20,745.10x = 354,164,263.20
  5. Step 5: Solve for x
    x = 354,164,263.20/20,745.10
  6. Step 6: Final answer
    x = 17,072.19

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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.