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Finding the Fourth Proportional to 11,538, 17,308.67 and 3,637.85

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Solution

The fourth proportional to 11,538, 17,308.67 and 3,637.85 is: 5,457.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,538 : 17,308.67 = 3,637.85 : x
  2. Step 2: Convert to fraction form
    11,538/17,308.67 = 3,637.85/x
  3. Step 3: Cross multiply
    11,538x = 17,308.67 × 3,637.85
  4. Step 4: Simplify right side
    11,538x = 62,966,260.89
  5. Step 5: Solve for x
    x = 62,966,260.89/11,538
  6. Step 6: Final answer
    x = 5,457.29

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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.