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Finding the Fourth Proportional to 5,134.86, 7,707.11 and 2,671.43

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Solution

The fourth proportional to 5,134.86, 7,707.11 and 2,671.43 is: 4,009.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,134.86 : 7,707.11 = 2,671.43 : x
  2. Step 2: Convert to fraction form
    5,134.86/7,707.11 = 2,671.43/x
  3. Step 3: Cross multiply
    5,134.86x = 7,707.11 × 2,671.43
  4. Step 4: Simplify right side
    5,134.86x = 20,588,952.97
  5. Step 5: Solve for x
    x = 20,588,952.97/5,134.86
  6. Step 6: Final answer
    x = 4,009.64

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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.