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Finding the Fourth Proportional to 6,409.12, 8,841.90 and 4,170.28

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Solution

The fourth proportional to 6,409.12, 8,841.90 and 4,170.28 is: 5,753.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.12 : 8,841.90 = 4,170.28 : x
  2. Step 2: Convert to fraction form
    6,409.12/8,841.90 = 4,170.28/x
  3. Step 3: Cross multiply
    6,409.12x = 8,841.90 × 4,170.28
  4. Step 4: Simplify right side
    6,409.12x = 36,873,198.73
  5. Step 5: Solve for x
    x = 36,873,198.73/6,409.12
  6. Step 6: Final answer
    x = 5,753.24

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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.