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Finding the Fourth Proportional to 3,196.78, 4,411.71 and 1,799.50

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Solution

The fourth proportional to 3,196.78, 4,411.71 and 1,799.50 is: 2,483.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.78 : 4,411.71 = 1,799.50 : x
  2. Step 2: Convert to fraction form
    3,196.78/4,411.71 = 1,799.50/x
  3. Step 3: Cross multiply
    3,196.78x = 4,411.71 × 1,799.50
  4. Step 4: Simplify right side
    3,196.78x = 7,938,872.15
  5. Step 5: Solve for x
    x = 7,938,872.15/3,196.78
  6. Step 6: Final answer
    x = 2,483.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.