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Finding the Fourth Proportional to 5,630.31, 7,769.87 and 3,078.09

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Solution

The fourth proportional to 5,630.31, 7,769.87 and 3,078.09 is: 4,247.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,630.31 : 7,769.87 = 3,078.09 : x
  2. Step 2: Convert to fraction form
    5,630.31/7,769.87 = 3,078.09/x
  3. Step 3: Cross multiply
    5,630.31x = 7,769.87 × 3,078.09
  4. Step 4: Simplify right side
    5,630.31x = 23,916,343.76
  5. Step 5: Solve for x
    x = 23,916,343.76/5,630.31
  6. Step 6: Final answer
    x = 4,247.78

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1.5x scale

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.