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Finding the Fourth Proportional to 5,178.75, 7,769.07 and 4,709.25

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Solution

The fourth proportional to 5,178.75, 7,769.07 and 4,709.25 is: 7,064.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178.75 : 7,769.07 = 4,709.25 : x
  2. Step 2: Convert to fraction form
    5,178.75/7,769.07 = 4,709.25/x
  3. Step 3: Cross multiply
    5,178.75x = 7,769.07 × 4,709.25
  4. Step 4: Simplify right side
    5,178.75x = 36,586,492.90
  5. Step 5: Solve for x
    x = 36,586,492.90/5,178.75
  6. Step 6: Final answer
    x = 7,064.73

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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.