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Finding the Fourth Proportional to 5,209.86, 7,189.79 and 2,852

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Solution

The fourth proportional to 5,209.86, 7,189.79 and 2,852 is: 3,935.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.86 : 7,189.79 = 2,852 : x
  2. Step 2: Convert to fraction form
    5,209.86/7,189.79 = 2,852/x
  3. Step 3: Cross multiply
    5,209.86x = 7,189.79 × 2,852
  4. Step 4: Simplify right side
    5,209.86x = 20,505,281.08
  5. Step 5: Solve for x
    x = 20,505,281.08/5,209.86
  6. Step 6: Final answer
    x = 3,935.86

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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.