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Finding the Fourth Proportional to 5,286.30, 7,941.78 and 4,548.20

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Solution

The fourth proportional to 5,286.30, 7,941.78 and 4,548.20 is: 6,832.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.30 : 7,941.78 = 4,548.20 : x
  2. Step 2: Convert to fraction form
    5,286.30/7,941.78 = 4,548.20/x
  3. Step 3: Cross multiply
    5,286.30x = 7,941.78 × 4,548.20
  4. Step 4: Simplify right side
    5,286.30x = 36,120,803.80
  5. Step 5: Solve for x
    x = 36,120,803.80/5,286.30
  6. Step 6: Final answer
    x = 6,832.91

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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.