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Finding the Fourth Proportional to 12,501, 18,751.50 and 5,109.48

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Solution

The fourth proportional to 12,501, 18,751.50 and 5,109.48 is: 7,664.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,501 : 18,751.50 = 5,109.48 : x
  2. Step 2: Convert to fraction form
    12,501/18,751.50 = 5,109.48/x
  3. Step 3: Cross multiply
    12,501x = 18,751.50 × 5,109.48
  4. Step 4: Simplify right side
    12,501x = 95,810,414.22
  5. Step 5: Solve for x
    x = 95,810,414.22/12,501
  6. Step 6: Final answer
    x = 7,664.22

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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.