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Finding the Fourth Proportional to 11,751.25, 17,632.25 and 5,089.78

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Solution

The fourth proportional to 11,751.25, 17,632.25 and 5,089.78 is: 7,637.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,751.25 : 17,632.25 = 5,089.78 : x
  2. Step 2: Convert to fraction form
    11,751.25/17,632.25 = 5,089.78/x
  3. Step 3: Cross multiply
    11,751.25x = 17,632.25 × 5,089.78
  4. Step 4: Simplify right side
    11,751.25x = 89,744,347.56
  5. Step 5: Solve for x
    x = 89,744,347.56/11,751.25
  6. Step 6: Final answer
    x = 7,637.01

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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.