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Finding the Fourth Proportional to 12,725, 17,560.50 and 7,136

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Solution

The fourth proportional to 12,725, 17,560.50 and 7,136 is: 9,847.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,725 : 17,560.50 = 7,136 : x
  2. Step 2: Convert to fraction form
    12,725/17,560.50 = 7,136/x
  3. Step 3: Cross multiply
    12,725x = 17,560.50 × 7,136
  4. Step 4: Simplify right side
    12,725x = 125,311,728
  5. Step 5: Solve for x
    x = 125,311,728/12,725
  6. Step 6: Final answer
    x = 9,847.68

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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.