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Finding the Fourth Proportional to 5,140.92, 7,713 and 2,220.60

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Solution

The fourth proportional to 5,140.92, 7,713 and 2,220.60 is: 3,331.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,140.92 : 7,713 = 2,220.60 : x
  2. Step 2: Convert to fraction form
    5,140.92/7,713 = 2,220.60/x
  3. Step 3: Cross multiply
    5,140.92x = 7,713 × 2,220.60
  4. Step 4: Simplify right side
    5,140.92x = 17,127,487.80
  5. Step 5: Solve for x
    x = 17,127,487.80/5,140.92
  6. Step 6: Final answer
    x = 3,331.60

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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.