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Finding the Fourth Proportional to 5,286.32, 7,927.85 and 4,243.86

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Solution

The fourth proportional to 5,286.32, 7,927.85 and 4,243.86 is: 6,364.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.32 : 7,927.85 = 4,243.86 : x
  2. Step 2: Convert to fraction form
    5,286.32/7,927.85 = 4,243.86/x
  3. Step 3: Cross multiply
    5,286.32x = 7,927.85 × 4,243.86
  4. Step 4: Simplify right side
    5,286.32x = 33,644,685.50
  5. Step 5: Solve for x
    x = 33,644,685.50/5,286.32
  6. Step 6: Final answer
    x = 6,364.48

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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.