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Finding the Fourth Proportional to 3,892.86, 5,372.07 and 2,124.48

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Solution

The fourth proportional to 3,892.86, 5,372.07 and 2,124.48 is: 2,931.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.86 : 5,372.07 = 2,124.48 : x
  2. Step 2: Convert to fraction form
    3,892.86/5,372.07 = 2,124.48/x
  3. Step 3: Cross multiply
    3,892.86x = 5,372.07 × 2,124.48
  4. Step 4: Simplify right side
    3,892.86x = 11,412,849.18
  5. Step 5: Solve for x
    x = 11,412,849.18/3,892.86
  6. Step 6: Final answer
    x = 2,931.74

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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.