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Finding the Fourth Proportional to 27,710.66, 41,572.14 and 7,987.68

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Solution

The fourth proportional to 27,710.66, 41,572.14 and 7,987.68 is: 11,983.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,710.66 : 41,572.14 = 7,987.68 : x
  2. Step 2: Convert to fraction form
    27,710.66/41,572.14 = 7,987.68/x
  3. Step 3: Cross multiply
    27,710.66x = 41,572.14 × 7,987.68
  4. Step 4: Simplify right side
    27,710.66x = 332,064,745.90
  5. Step 5: Solve for x
    x = 332,064,745.90/27,710.66
  6. Step 6: Final answer
    x = 11,983.29

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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.