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Finding the Fourth Proportional to 7,795.50, 11,693.82 and 3,178.50

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Solution

The fourth proportional to 7,795.50, 11,693.82 and 3,178.50 is: 4,767.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,795.50 : 11,693.82 = 3,178.50 : x
  2. Step 2: Convert to fraction form
    7,795.50/11,693.82 = 3,178.50/x
  3. Step 3: Cross multiply
    7,795.50x = 11,693.82 × 3,178.50
  4. Step 4: Simplify right side
    7,795.50x = 37,168,806.87
  5. Step 5: Solve for x
    x = 37,168,806.87/7,795.50
  6. Step 6: Final answer
    x = 4,767.98

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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.