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Finding the Fourth Proportional to 13,978.90, 20,971.43 and 6,082.66

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Solution

The fourth proportional to 13,978.90, 20,971.43 and 6,082.66 is: 9,125.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,978.90 : 20,971.43 = 6,082.66 : x
  2. Step 2: Convert to fraction form
    13,978.90/20,971.43 = 6,082.66/x
  3. Step 3: Cross multiply
    13,978.90x = 20,971.43 × 6,082.66
  4. Step 4: Simplify right side
    13,978.90x = 127,562,078.40
  5. Step 5: Solve for x
    x = 127,562,078.40/13,978.90
  6. Step 6: Final answer
    x = 9,125.33

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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.