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Finding the Fourth Proportional to 5,100, 7,038 and 2,892

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Solution

The fourth proportional to 5,100, 7,038 and 2,892 is: 3,990.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,100 : 7,038 = 2,892 : x
  2. Step 2: Convert to fraction form
    5,100/7,038 = 2,892/x
  3. Step 3: Cross multiply
    5,100x = 7,038 × 2,892
  4. Step 4: Simplify right side
    5,100x = 20,353,896
  5. Step 5: Solve for x
    x = 20,353,896/5,100
  6. Step 6: Final answer
    x = 3,990.96

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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.