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Finding the Fourth Proportional to 7,422, 11,123.28 and 4,136.64

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Solution

The fourth proportional to 7,422, 11,123.28 and 4,136.64 is: 6,199.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,422 : 11,123.28 = 4,136.64 : x
  2. Step 2: Convert to fraction form
    7,422/11,123.28 = 4,136.64/x
  3. Step 3: Cross multiply
    7,422x = 11,123.28 × 4,136.64
  4. Step 4: Simplify right side
    7,422x = 46,013,004.98
  5. Step 5: Solve for x
    x = 46,013,004.98/7,422
  6. Step 6: Final answer
    x = 6,199.54

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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.