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Finding the Fourth Proportional to 3,693.87, 5,098.01 and 2,122.47

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Solution

The fourth proportional to 3,693.87, 5,098.01 and 2,122.47 is: 2,929.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,693.87 : 5,098.01 = 2,122.47 : x
  2. Step 2: Convert to fraction form
    3,693.87/5,098.01 = 2,122.47/x
  3. Step 3: Cross multiply
    3,693.87x = 5,098.01 × 2,122.47
  4. Step 4: Simplify right side
    3,693.87x = 10,820,362.67
  5. Step 5: Solve for x
    x = 10,820,362.67/3,693.87
  6. Step 6: Final answer
    x = 2,929.28

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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.