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Finding the Fourth Proportional to 11,644.32, 16,069.02 and 6,339.12

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Solution

The fourth proportional to 11,644.32, 16,069.02 and 6,339.12 is: 8,747.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,644.32 : 16,069.02 = 6,339.12 : x
  2. Step 2: Convert to fraction form
    11,644.32/16,069.02 = 6,339.12/x
  3. Step 3: Cross multiply
    11,644.32x = 16,069.02 × 6,339.12
  4. Step 4: Simplify right side
    11,644.32x = 101,863,446.06
  5. Step 5: Solve for x
    x = 101,863,446.06/11,644.32
  6. Step 6: Final answer
    x = 8,747.91

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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.