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Finding the Fourth Proportional to 6,857.76, 10,286.64 and 4,393.72

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Solution

The fourth proportional to 6,857.76, 10,286.64 and 4,393.72 is: 6,590.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.76 : 10,286.64 = 4,393.72 : x
  2. Step 2: Convert to fraction form
    6,857.76/10,286.64 = 4,393.72/x
  3. Step 3: Cross multiply
    6,857.76x = 10,286.64 × 4,393.72
  4. Step 4: Simplify right side
    6,857.76x = 45,196,615.90
  5. Step 5: Solve for x
    x = 45,196,615.90/6,857.76
  6. Step 6: Final answer
    x = 6,590.58

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.