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Finding the Fourth Proportional to 5,187.29, 7,787.09 and 4,092.42

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Solution

The fourth proportional to 5,187.29, 7,787.09 and 4,092.42 is: 6,143.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,187.29 : 7,787.09 = 4,092.42 : x
  2. Step 2: Convert to fraction form
    5,187.29/7,787.09 = 4,092.42/x
  3. Step 3: Cross multiply
    5,187.29x = 7,787.09 × 4,092.42
  4. Step 4: Simplify right side
    5,187.29x = 31,868,059.27
  5. Step 5: Solve for x
    x = 31,868,059.27/5,187.29
  6. Step 6: Final answer
    x = 6,143.49

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1.5x scale

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.