Home / 20,941.82-31,414.08-9,255

Finding the Fourth Proportional to 20,941.82, 31,414.08 and 9,255

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Solution

The fourth proportional to 20,941.82, 31,414.08 and 9,255 is: 13,883.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,941.82 : 31,414.08 = 9,255 : x
  2. Step 2: Convert to fraction form
    20,941.82/31,414.08 = 9,255/x
  3. Step 3: Cross multiply
    20,941.82x = 31,414.08 × 9,255
  4. Step 4: Simplify right side
    20,941.82x = 290,737,310.40
  5. Step 5: Solve for x
    x = 290,737,310.40/20,941.82
  6. Step 6: Final answer
    x = 13,883.10

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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.