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Finding the Fourth Proportional to 8,147, 11,242.86 and 4,421

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Solution

The fourth proportional to 8,147, 11,242.86 and 4,421 is: 6,100.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,147 : 11,242.86 = 4,421 : x
  2. Step 2: Convert to fraction form
    8,147/11,242.86 = 4,421/x
  3. Step 3: Cross multiply
    8,147x = 11,242.86 × 4,421
  4. Step 4: Simplify right side
    8,147x = 49,704,684.06
  5. Step 5: Solve for x
    x = 49,704,684.06/8,147
  6. Step 6: Final answer
    x = 6,100.98

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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.