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Finding the Fourth Proportional to 8,564.78, 11,820.24 and 5,027.91

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Solution

The fourth proportional to 8,564.78, 11,820.24 and 5,027.91 is: 6,939.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.78 : 11,820.24 = 5,027.91 : x
  2. Step 2: Convert to fraction form
    8,564.78/11,820.24 = 5,027.91/x
  3. Step 3: Cross multiply
    8,564.78x = 11,820.24 × 5,027.91
  4. Step 4: Simplify right side
    8,564.78x = 59,431,102.90
  5. Step 5: Solve for x
    x = 59,431,102.90/8,564.78
  6. Step 6: Final answer
    x = 6,939.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.