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Finding the Fourth Proportional to 3,194.76, 4,788.36 and 1,807.50

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Solution

The fourth proportional to 3,194.76, 4,788.36 and 1,807.50 is: 2,709.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.76 : 4,788.36 = 1,807.50 : x
  2. Step 2: Convert to fraction form
    3,194.76/4,788.36 = 1,807.50/x
  3. Step 3: Cross multiply
    3,194.76x = 4,788.36 × 1,807.50
  4. Step 4: Simplify right side
    3,194.76x = 8,654,960.70
  5. Step 5: Solve for x
    x = 8,654,960.70/3,194.76
  6. Step 6: Final answer
    x = 2,709.11

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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.