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Finding the Fourth Proportional to 12,507.03, 18,751.23 and 7,575.48

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Solution

The fourth proportional to 12,507.03, 18,751.23 and 7,575.48 is: 11,357.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,507.03 : 18,751.23 = 7,575.48 : x
  2. Step 2: Convert to fraction form
    12,507.03/18,751.23 = 7,575.48/x
  3. Step 3: Cross multiply
    12,507.03x = 18,751.23 × 7,575.48
  4. Step 4: Simplify right side
    12,507.03x = 142,049,567.84
  5. Step 5: Solve for x
    x = 142,049,567.84/12,507.03
  6. Step 6: Final answer
    x = 11,357.58

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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.