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Finding the Fourth Proportional to 6,188.16, 8,540 and 3,393.92

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Solution

The fourth proportional to 6,188.16, 8,540 and 3,393.92 is: 4,683.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,188.16 : 8,540 = 3,393.92 : x
  2. Step 2: Convert to fraction form
    6,188.16/8,540 = 3,393.92/x
  3. Step 3: Cross multiply
    6,188.16x = 8,540 × 3,393.92
  4. Step 4: Simplify right side
    6,188.16x = 28,984,076.80
  5. Step 5: Solve for x
    x = 28,984,076.80/6,188.16
  6. Step 6: Final answer
    x = 4,683.80

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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.