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Finding the Fourth Proportional to 6,880.86, 9,494.82 and 3,896.64

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Solution

The fourth proportional to 6,880.86, 9,494.82 and 3,896.64 is: 5,376.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,880.86 : 9,494.82 = 3,896.64 : x
  2. Step 2: Convert to fraction form
    6,880.86/9,494.82 = 3,896.64/x
  3. Step 3: Cross multiply
    6,880.86x = 9,494.82 × 3,896.64
  4. Step 4: Simplify right side
    6,880.86x = 36,997,895.40
  5. Step 5: Solve for x
    x = 36,997,895.40/6,880.86
  6. Step 6: Final answer
    x = 5,376.93

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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.