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Finding the Fourth Proportional to 2,084.86, 3,127.29 and 852.27

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Solution

The fourth proportional to 2,084.86, 3,127.29 and 852.27 is: 1,278.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.86 : 3,127.29 = 852.27 : x
  2. Step 2: Convert to fraction form
    2,084.86/3,127.29 = 852.27/x
  3. Step 3: Cross multiply
    2,084.86x = 3,127.29 × 852.27
  4. Step 4: Simplify right side
    2,084.86x = 2,665,295.45
  5. Step 5: Solve for x
    x = 2,665,295.45/2,084.86
  6. Step 6: Final answer
    x = 1,278.41

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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.