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Finding the Fourth Proportional to 5,305.50, 7,958.25 and 2,227.50

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Solution

The fourth proportional to 5,305.50, 7,958.25 and 2,227.50 is: 3,341.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,305.50 : 7,958.25 = 2,227.50 : x
  2. Step 2: Convert to fraction form
    5,305.50/7,958.25 = 2,227.50/x
  3. Step 3: Cross multiply
    5,305.50x = 7,958.25 × 2,227.50
  4. Step 4: Simplify right side
    5,305.50x = 17,727,001.88
  5. Step 5: Solve for x
    x = 17,727,001.88/5,305.50
  6. Step 6: Final answer
    x = 3,341.25

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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.