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Finding the Fourth Proportional to 8,084.80, 11,157.44 and 4,940

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Solution

The fourth proportional to 8,084.80, 11,157.44 and 4,940 is: 6,817.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,084.80 : 11,157.44 = 4,940 : x
  2. Step 2: Convert to fraction form
    8,084.80/11,157.44 = 4,940/x
  3. Step 3: Cross multiply
    8,084.80x = 11,157.44 × 4,940
  4. Step 4: Simplify right side
    8,084.80x = 55,117,753.60
  5. Step 5: Solve for x
    x = 55,117,753.60/8,084.80
  6. Step 6: Final answer
    x = 6,817.45

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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.