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Finding the Fourth Proportional to 9,803.36, 13,519.28 and 6,449

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Solution

The fourth proportional to 9,803.36, 13,519.28 and 6,449 is: 8,893.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803.36 : 13,519.28 = 6,449 : x
  2. Step 2: Convert to fraction form
    9,803.36/13,519.28 = 6,449/x
  3. Step 3: Cross multiply
    9,803.36x = 13,519.28 × 6,449
  4. Step 4: Simplify right side
    9,803.36x = 87,185,836.72
  5. Step 5: Solve for x
    x = 87,185,836.72/9,803.36
  6. Step 6: Final answer
    x = 8,893.46

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1.5x scale

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.