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Finding the Fourth Proportional to 19,990.75, 29,986.14 and 6,139.75

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Solution

The fourth proportional to 19,990.75, 29,986.14 and 6,139.75 is: 9,209.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,990.75 : 29,986.14 = 6,139.75 : x
  2. Step 2: Convert to fraction form
    19,990.75/29,986.14 = 6,139.75/x
  3. Step 3: Cross multiply
    19,990.75x = 29,986.14 × 6,139.75
  4. Step 4: Simplify right side
    19,990.75x = 184,107,403.07
  5. Step 5: Solve for x
    x = 184,107,403.07/19,990.75
  6. Step 6: Final answer
    x = 9,209.63

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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.