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Finding the Fourth Proportional to 8,610.24, 11,884 and 5,072.16

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Solution

The fourth proportional to 8,610.24, 11,884 and 5,072.16 is: 7,000.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,610.24 : 11,884 = 5,072.16 : x
  2. Step 2: Convert to fraction form
    8,610.24/11,884 = 5,072.16/x
  3. Step 3: Cross multiply
    8,610.24x = 11,884 × 5,072.16
  4. Step 4: Simplify right side
    8,610.24x = 60,277,549.44
  5. Step 5: Solve for x
    x = 60,277,549.44/8,610.24
  6. Step 6: Final answer
    x = 7,000.68

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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.