Home / 3,192-4,787.70-1,000.12

Finding the Fourth Proportional to 3,192, 4,787.70 and 1,000.12

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Solution

The fourth proportional to 3,192, 4,787.70 and 1,000.12 is: 1,500.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,192 : 4,787.70 = 1,000.12 : x
  2. Step 2: Convert to fraction form
    3,192/4,787.70 = 1,000.12/x
  3. Step 3: Cross multiply
    3,192x = 4,787.70 × 1,000.12
  4. Step 4: Simplify right side
    3,192x = 4,788,274.52
  5. Step 5: Solve for x
    x = 4,788,274.52/3,192
  6. Step 6: Final answer
    x = 1,500.09

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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.