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Finding the Fourth Proportional to 6,998.69, 10,488.15 and 3,880.08

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Solution

The fourth proportional to 6,998.69, 10,488.15 and 3,880.08 is: 5,814.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998.69 : 10,488.15 = 3,880.08 : x
  2. Step 2: Convert to fraction form
    6,998.69/10,488.15 = 3,880.08/x
  3. Step 3: Cross multiply
    6,998.69x = 10,488.15 × 3,880.08
  4. Step 4: Simplify right side
    6,998.69x = 40,694,861.05
  5. Step 5: Solve for x
    x = 40,694,861.05/6,998.69
  6. Step 6: Final answer
    x = 5,814.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.