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Finding the Fourth Proportional to 9,311.08, 13,947.18 and 8,671.72

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Solution

The fourth proportional to 9,311.08, 13,947.18 and 8,671.72 is: 12,989.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,311.08 : 13,947.18 = 8,671.72 : x
  2. Step 2: Convert to fraction form
    9,311.08/13,947.18 = 8,671.72/x
  3. Step 3: Cross multiply
    9,311.08x = 13,947.18 × 8,671.72
  4. Step 4: Simplify right side
    9,311.08x = 120,946,039.75
  5. Step 5: Solve for x
    x = 120,946,039.75/9,311.08
  6. Step 6: Final answer
    x = 12,989.47

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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.