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Finding the Fourth Proportional to 9,800.36, 13,515.14 and 6,446

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Solution

The fourth proportional to 9,800.36, 13,515.14 and 6,446 is: 8,889.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,800.36 : 13,515.14 = 6,446 : x
  2. Step 2: Convert to fraction form
    9,800.36/13,515.14 = 6,446/x
  3. Step 3: Cross multiply
    9,800.36x = 13,515.14 × 6,446
  4. Step 4: Simplify right side
    9,800.36x = 87,118,592.44
  5. Step 5: Solve for x
    x = 87,118,592.44/9,800.36
  6. Step 6: Final answer
    x = 8,889.33

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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.