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Finding the Fourth Proportional to 2,909.50, 4,365.09 and 857.50

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Solution

The fourth proportional to 2,909.50, 4,365.09 and 857.50 is: 1,286.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.50 : 4,365.09 = 857.50 : x
  2. Step 2: Convert to fraction form
    2,909.50/4,365.09 = 857.50/x
  3. Step 3: Cross multiply
    2,909.50x = 4,365.09 × 857.50
  4. Step 4: Simplify right side
    2,909.50x = 3,743,064.68
  5. Step 5: Solve for x
    x = 3,743,064.68/2,909.50
  6. Step 6: Final answer
    x = 1,286.50

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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.