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Finding the Fourth Proportional to 6,673.64, 10,011.87 and 1,993.86

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Solution

The fourth proportional to 6,673.64, 10,011.87 and 1,993.86 is: 2,991.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,673.64 : 10,011.87 = 1,993.86 : x
  2. Step 2: Convert to fraction form
    6,673.64/10,011.87 = 1,993.86/x
  3. Step 3: Cross multiply
    6,673.64x = 10,011.87 × 1,993.86
  4. Step 4: Simplify right side
    6,673.64x = 19,962,267.12
  5. Step 5: Solve for x
    x = 19,962,267.12/6,673.64
  6. Step 6: Final answer
    x = 2,991.21

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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.