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Finding the Fourth Proportional to 27,109.46, 40,660 and 7,389.61

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Solution

The fourth proportional to 27,109.46, 40,660 and 7,389.61 is: 11,083.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,109.46 : 40,660 = 7,389.61 : x
  2. Step 2: Convert to fraction form
    27,109.46/40,660 = 7,389.61/x
  3. Step 3: Cross multiply
    27,109.46x = 40,660 × 7,389.61
  4. Step 4: Simplify right side
    27,109.46x = 300,461,542.60
  5. Step 5: Solve for x
    x = 300,461,542.60/27,109.46
  6. Step 6: Final answer
    x = 11,083.27

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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.