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Finding the Fourth Proportional to 9,983.38, 13,782.46 and 6,005.38

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Solution

The fourth proportional to 9,983.38, 13,782.46 and 6,005.38 is: 8,290.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,983.38 : 13,782.46 = 6,005.38 : x
  2. Step 2: Convert to fraction form
    9,983.38/13,782.46 = 6,005.38/x
  3. Step 3: Cross multiply
    9,983.38x = 13,782.46 × 6,005.38
  4. Step 4: Simplify right side
    9,983.38x = 82,768,909.63
  5. Step 5: Solve for x
    x = 82,768,909.63/9,983.38
  6. Step 6: Final answer
    x = 8,290.67

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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.