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Finding the Fourth Proportional to 9,843.69, 13,582.98 and 6,311.70

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Solution

The fourth proportional to 9,843.69, 13,582.98 and 6,311.70 is: 8,709.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.69 : 13,582.98 = 6,311.70 : x
  2. Step 2: Convert to fraction form
    9,843.69/13,582.98 = 6,311.70/x
  3. Step 3: Cross multiply
    9,843.69x = 13,582.98 × 6,311.70
  4. Step 4: Simplify right side
    9,843.69x = 85,731,694.87
  5. Step 5: Solve for x
    x = 85,731,694.87/9,843.69
  6. Step 6: Final answer
    x = 8,709.30

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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.