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Finding the Fourth Proportional to 5,092, 7,638 and 1,629.52

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Solution

The fourth proportional to 5,092, 7,638 and 1,629.52 is: 2,444.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,092 : 7,638 = 1,629.52 : x
  2. Step 2: Convert to fraction form
    5,092/7,638 = 1,629.52/x
  3. Step 3: Cross multiply
    5,092x = 7,638 × 1,629.52
  4. Step 4: Simplify right side
    5,092x = 12,446,273.76
  5. Step 5: Solve for x
    x = 12,446,273.76/5,092
  6. Step 6: Final answer
    x = 2,444.28

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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.