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Finding the Fourth Proportional to 15,150, 22,725.81 and 4,762.56

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Solution

The fourth proportional to 15,150, 22,725.81 and 4,762.56 is: 7,144.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,150 : 22,725.81 = 4,762.56 : x
  2. Step 2: Convert to fraction form
    15,150/22,725.81 = 4,762.56/x
  3. Step 3: Cross multiply
    15,150x = 22,725.81 × 4,762.56
  4. Step 4: Simplify right side
    15,150x = 108,233,033.67
  5. Step 5: Solve for x
    x = 108,233,033.67/15,150
  6. Step 6: Final answer
    x = 7,144.09

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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.