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Finding the Fourth Proportional to 12,525, 18,783 and 4,202.52

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Solution

The fourth proportional to 12,525, 18,783 and 4,202.52 is: 6,302.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,525 : 18,783 = 4,202.52 : x
  2. Step 2: Convert to fraction form
    12,525/18,783 = 4,202.52/x
  3. Step 3: Cross multiply
    12,525x = 18,783 × 4,202.52
  4. Step 4: Simplify right side
    12,525x = 78,935,933.16
  5. Step 5: Solve for x
    x = 78,935,933.16/12,525
  6. Step 6: Final answer
    x = 6,302.27

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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.