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Finding the Fourth Proportional to 6,287.60, 9,418.80 and 3,940.40

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Solution

The fourth proportional to 6,287.60, 9,418.80 and 3,940.40 is: 5,902.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,287.60 : 9,418.80 = 3,940.40 : x
  2. Step 2: Convert to fraction form
    6,287.60/9,418.80 = 3,940.40/x
  3. Step 3: Cross multiply
    6,287.60x = 9,418.80 × 3,940.40
  4. Step 4: Simplify right side
    6,287.60x = 37,113,839.52
  5. Step 5: Solve for x
    x = 37,113,839.52/6,287.60
  6. Step 6: Final answer
    x = 5,902.70

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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.