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Finding the Fourth Proportional to 3,153.68, 4,725.60 and 1,997

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Solution

The fourth proportional to 3,153.68, 4,725.60 and 1,997 is: 2,992.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,153.68 : 4,725.60 = 1,997 : x
  2. Step 2: Convert to fraction form
    3,153.68/4,725.60 = 1,997/x
  3. Step 3: Cross multiply
    3,153.68x = 4,725.60 × 1,997
  4. Step 4: Simplify right side
    3,153.68x = 9,437,023.20
  5. Step 5: Solve for x
    x = 9,437,023.20/3,153.68
  6. Step 6: Final answer
    x = 2,992.38

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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.