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Finding the Fourth Proportional to 5,663.82, 7,812.09 and 3,899.64

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Solution

The fourth proportional to 5,663.82, 7,812.09 and 3,899.64 is: 5,378.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663.82 : 7,812.09 = 3,899.64 : x
  2. Step 2: Convert to fraction form
    5,663.82/7,812.09 = 3,899.64/x
  3. Step 3: Cross multiply
    5,663.82x = 7,812.09 × 3,899.64
  4. Step 4: Simplify right side
    5,663.82x = 30,464,338.65
  5. Step 5: Solve for x
    x = 30,464,338.65/5,663.82
  6. Step 6: Final answer
    x = 5,378.76

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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.