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Finding the Fourth Proportional to 9,951.63, 13,727.53 and 6,219.15

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Solution

The fourth proportional to 9,951.63, 13,727.53 and 6,219.15 is: 8,578.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,951.63 : 13,727.53 = 6,219.15 : x
  2. Step 2: Convert to fraction form
    9,951.63/13,727.53 = 6,219.15/x
  3. Step 3: Cross multiply
    9,951.63x = 13,727.53 × 6,219.15
  4. Step 4: Simplify right side
    9,951.63x = 85,373,524.50
  5. Step 5: Solve for x
    x = 85,373,524.50/9,951.63
  6. Step 6: Final answer
    x = 8,578.85

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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.