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Finding the Fourth Proportional to 9,981.88, 13,780.39 and 6,003.88

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Solution

The fourth proportional to 9,981.88, 13,780.39 and 6,003.88 is: 8,288.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,981.88 : 13,780.39 = 6,003.88 : x
  2. Step 2: Convert to fraction form
    9,981.88/13,780.39 = 6,003.88/x
  3. Step 3: Cross multiply
    9,981.88x = 13,780.39 × 6,003.88
  4. Step 4: Simplify right side
    9,981.88x = 82,735,724.00
  5. Step 5: Solve for x
    x = 82,735,724.00/9,981.88
  6. Step 6: Final answer
    x = 8,288.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.