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Finding the Fourth Proportional to 6,406.75, 8,842.94 and 3,613.87

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Solution

The fourth proportional to 6,406.75, 8,842.94 and 3,613.87 is: 4,988.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.75 : 8,842.94 = 3,613.87 : x
  2. Step 2: Convert to fraction form
    6,406.75/8,842.94 = 3,613.87/x
  3. Step 3: Cross multiply
    6,406.75x = 8,842.94 × 3,613.87
  4. Step 4: Simplify right side
    6,406.75x = 31,957,235.58
  5. Step 5: Solve for x
    x = 31,957,235.58/6,406.75
  6. Step 6: Final answer
    x = 4,988.06

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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.