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Finding the Fourth Proportional to 9,800.57, 13,516.97 and 6,446.84

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Solution

The fourth proportional to 9,800.57, 13,516.97 and 6,446.84 is: 8,891.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,800.57 : 13,516.97 = 6,446.84 : x
  2. Step 2: Convert to fraction form
    9,800.57/13,516.97 = 6,446.84/x
  3. Step 3: Cross multiply
    9,800.57x = 13,516.97 × 6,446.84
  4. Step 4: Simplify right side
    9,800.57x = 87,141,710.64
  5. Step 5: Solve for x
    x = 87,141,710.64/9,800.57
  6. Step 6: Final answer
    x = 8,891.49

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Half scale
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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.