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Finding the Fourth Proportional to 5,247.84, 7,872.12 and 1,960.86

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Solution

The fourth proportional to 5,247.84, 7,872.12 and 1,960.86 is: 2,941.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,247.84 : 7,872.12 = 1,960.86 : x
  2. Step 2: Convert to fraction form
    5,247.84/7,872.12 = 1,960.86/x
  3. Step 3: Cross multiply
    5,247.84x = 7,872.12 × 1,960.86
  4. Step 4: Simplify right side
    5,247.84x = 15,436,125.22
  5. Step 5: Solve for x
    x = 15,436,125.22/5,247.84
  6. Step 6: Final answer
    x = 2,941.42

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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.