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Finding the Fourth Proportional to 6,780, 9,357.48 and 3,985.50

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Solution

The fourth proportional to 6,780, 9,357.48 and 3,985.50 is: 5,500.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,780 : 9,357.48 = 3,985.50 : x
  2. Step 2: Convert to fraction form
    6,780/9,357.48 = 3,985.50/x
  3. Step 3: Cross multiply
    6,780x = 9,357.48 × 3,985.50
  4. Step 4: Simplify right side
    6,780x = 37,294,236.54
  5. Step 5: Solve for x
    x = 37,294,236.54/6,780
  6. Step 6: Final answer
    x = 5,500.62

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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.