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Finding the Fourth Proportional to 11,358.64, 15,679.20 and 6,644.44

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Solution

The fourth proportional to 11,358.64, 15,679.20 and 6,644.44 is: 9,171.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,358.64 : 15,679.20 = 6,644.44 : x
  2. Step 2: Convert to fraction form
    11,358.64/15,679.20 = 6,644.44/x
  3. Step 3: Cross multiply
    11,358.64x = 15,679.20 × 6,644.44
  4. Step 4: Simplify right side
    11,358.64x = 104,179,503.65
  5. Step 5: Solve for x
    x = 104,179,503.65/11,358.64
  6. Step 6: Final answer
    x = 9,171.83

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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.