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Finding the Fourth Proportional to 27,110.64, 40,666 and 7,389.20

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Solution

The fourth proportional to 27,110.64, 40,666 and 7,389.20 is: 11,083.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,110.64 : 40,666 = 7,389.20 : x
  2. Step 2: Convert to fraction form
    27,110.64/40,666 = 7,389.20/x
  3. Step 3: Cross multiply
    27,110.64x = 40,666 × 7,389.20
  4. Step 4: Simplify right side
    27,110.64x = 300,489,207.20
  5. Step 5: Solve for x
    x = 300,489,207.20/27,110.64
  6. Step 6: Final answer
    x = 11,083.81

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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.