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Finding the Fourth Proportional to 8,311.32, 12,461.31 and 4,364.82

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Solution

The fourth proportional to 8,311.32, 12,461.31 and 4,364.82 is: 6,544.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.32 : 12,461.31 = 4,364.82 : x
  2. Step 2: Convert to fraction form
    8,311.32/12,461.31 = 4,364.82/x
  3. Step 3: Cross multiply
    8,311.32x = 12,461.31 × 4,364.82
  4. Step 4: Simplify right side
    8,311.32x = 54,391,375.11
  5. Step 5: Solve for x
    x = 54,391,375.11/8,311.32
  6. Step 6: Final answer
    x = 6,544.25

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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.