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Finding the Fourth Proportional to 3,309.70, 4,971.40 and 3,199

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Solution

The fourth proportional to 3,309.70, 4,971.40 and 3,199 is: 4,805.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,309.70 : 4,971.40 = 3,199 : x
  2. Step 2: Convert to fraction form
    3,309.70/4,971.40 = 3,199/x
  3. Step 3: Cross multiply
    3,309.70x = 4,971.40 × 3,199
  4. Step 4: Simplify right side
    3,309.70x = 15,903,508.60
  5. Step 5: Solve for x
    x = 15,903,508.60/3,309.70
  6. Step 6: Final answer
    x = 4,805.12

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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.