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Finding the Fourth Proportional to 6,876.92, 9,485.88 and 4,221.74

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Solution

The fourth proportional to 6,876.92, 9,485.88 and 4,221.74 is: 5,823.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,876.92 : 9,485.88 = 4,221.74 : x
  2. Step 2: Convert to fraction form
    6,876.92/9,485.88 = 4,221.74/x
  3. Step 3: Cross multiply
    6,876.92x = 9,485.88 × 4,221.74
  4. Step 4: Simplify right side
    6,876.92x = 40,046,919.03
  5. Step 5: Solve for x
    x = 40,046,919.03/6,876.92
  6. Step 6: Final answer
    x = 5,823.38

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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.