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Finding the Fourth Proportional to 2,192, 3,289.62 and 1,037.75

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Solution

The fourth proportional to 2,192, 3,289.62 and 1,037.75 is: 1,557.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,192 : 3,289.62 = 1,037.75 : x
  2. Step 2: Convert to fraction form
    2,192/3,289.62 = 1,037.75/x
  3. Step 3: Cross multiply
    2,192x = 3,289.62 × 1,037.75
  4. Step 4: Simplify right side
    2,192x = 3,413,803.16
  5. Step 5: Solve for x
    x = 3,413,803.16/2,192
  6. Step 6: Final answer
    x = 1,557.39

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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.