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Finding the Fourth Proportional to 6,103.95, 8,418.15 and 3,978.66

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Solution

The fourth proportional to 6,103.95, 8,418.15 and 3,978.66 is: 5,487.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,103.95 : 8,418.15 = 3,978.66 : x
  2. Step 2: Convert to fraction form
    6,103.95/8,418.15 = 3,978.66/x
  3. Step 3: Cross multiply
    6,103.95x = 8,418.15 × 3,978.66
  4. Step 4: Simplify right side
    6,103.95x = 33,492,956.68
  5. Step 5: Solve for x
    x = 33,492,956.68/6,103.95
  6. Step 6: Final answer
    x = 5,487.10

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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.